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(A) sorted by Year

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(A) 1883-2022 setup of winners SORTED BY YEAR 1883 Cantor G. Continuum is a compact playground for any small ant. 1887 Jordan C. Each simple closed planar curve surrounds its inside and outside. 1890 Peano G. Drawing a full square with a segment. 1900 Hilbert D. Hilbert cube containing a copy of any continuum. 1902 Painleve P. A decreasing sequence of continua forms a continuum. 1910 Brouwer L.E.J. Buckethandle as the simplest indecomposable continuum. 1912 Janiszewski Z. Arc-less continuum. 1912 Janiszewski Z. Buckethandle in an angular shape. 1912 Wada T. Lakes of Wada (three disjoint connected open sets of the plane with the same boundary). 1914 Hahn H. Locally connected continuum is a continuous image of [0,1]. 1914 Mazurkiewicz S. Sierpinski carpet contains only ramification points of infinite order. 1915 Sierpinski W. Half homogeneous Sierpinski carpet containing a copy of every planar curve. 1915 Sierpinski W. Sierpinski triangle with only ramification points. 1916 Moore R.L. Chainable continuum. 1918 Sierpinski W. Any continuum is sigma connected, not a countable union of disjoint closed sets. 1918 Janiszewski Z. Foundation of Fundamenta Mathematicae journal (with W. Sierpinski and S. Mazurkiewicz). 1920 Antoine L. Antoine's necklace (wild embedding of the Cantor set). 1920 Mazurkiewicz S. Locally connected continuum is a continuous image of [0,1]. 1920 Moore R.L. Two non-cut points in any continuum. 1922 Antoine L. Antoine's arc (wild embedding of the arc). 1922 Knaster B. Buckethandle in a round shape. 1922 Knaster B. Pseudo-arc, the nondegenerate hereditarily indecomposable continuum. 1923 Wazewski T. Wazewski universal dendrite containing a copy of any dendrite. 1924 Alexander J.W. Alexander horned sphere, a wild embedding of a sphere into space. 1924 Mazurkiewicz S. Each locally connected homogeneous plane continuum is a simple closed curve. 1925 Gehman H.M. Dendrite with ramification points of order 3 and end points forming the Cantor set. 1926 Menger K. Homogeneous Menger sponge containing a copy of every curve. 1927 Kuratowski K. A point of irreducibility in a continuum is not contained in two proper subcontinua (a characterization). 1927 Vietoris L. Solenoid (in a sequence folding tube in a previous tube twice). 1929 Roberts J.H. Upper semicontinuous decomposition of the plane into nonseparating locally connected subcontinua. 1930 Mazurkiewicz S. A typical continuum is hereditarily indecomposable. 1930 Dantzig D. von Homogeneity of a solenoid. 1930 Kurtowski K. Planability test for local dendrites (cannot contain two special continua). 1930 Whyburn G.T. Whyburn's curve, a continuum every subcontinuum of which separates the plane. 1931 Keller O.H. Hilbert cube is homogeneous. 1932 Miller E.W. A dendrite not containing its proper copy. 1932 Waraszkiewicz Z. Waraszkiewicz's spirals ( an uncountable family of continuously incomparable planar curves). 1934 Borsuk K. The dunce hat (Borsuk's tube, acyclic polyhedron which is not the union of two acyclic polyhedra). 1935 Mazurkiewicz S. Any compact metric space of dimension 2 contains a nondegenerate indecomposable continuum. 1936 Whyburn G.T. Decomposition of 3-space into 3-space using Antoine's arc and points. 1937 Sierpinski W. Arc mapped onto Hilbert cube. 1937 Freudenthal H. Solenoid as an inverse limit. 1937 Claytor S. Two Claytor continua block planarity of a Peano continuum. 1944 Sorgenfrey R.H. Every nondegenerate unicoherent continuum which is not a triod is irreducible. 1945 Besicovitch A.S. A dendrite such that no two of its open sets are homeomorphic. 1947 Borsuk K. An example of a simple arc in space whose projection in every plane has interior points. 1948 Bing R.H. Homogeneity of the pseudo-arc. 1948 Moise E.E. Indecomposable planar continuum homeomorphic to each of its nondegenerate subcontinua (the pseudo-arc). 1948 Jones F. B. T function (the complement of T(A) contains the interior points of subcontinua not meeting A). 1951 Hamilton O.H. Each chainable continuum has the fixed-point property. 1951 Bing R.H. Planar non-chainable circularly chainable hereditarily indecomposable continuum (a pseudo-circle). 1952 Anderson R.D. A continuous decomposition of the plane into nonseparating subcontinua. 1958 Anderson R.D. Menger universal curve is homogeneous. 1959 Anderson R.D. A plane continuum no two of whose nendegenerate subcontinua are homeomorphic. 1959 Choquet G. A plane continuum no two of whose nendegenerate subcontinua are homeomorphic. 1959 Isbell J.R. Chainable continuum is an inverse limit of an inverse sequence of arcs. 1959 Bing R.H. The circle of pseudo-arcs. 1959 Jones F. B. The circle of pseudo-arcs. 1961 Lelek A. The Lelek fan (a smooth fan with a dense set of endpoints). 1962 Lelek A. Weakly chainable continua are exactly continuous images of the pseudo-arc. 1963 Borsuk K. Borsuk nonplanar fan. 1964 Henderson G. Arc is the only decomposable hereditarily equivalent continuum. 1964 Lelek A. Span zero (no two points can change the position on a continuum). 1964 Henderson G. The pseudo-arc is an inverse limit using only one binding map. 1964 Charatonik J.J. Unicoherence of locally connected continua is an invariant under confluent mappings. 1965 Effros E.G. The group of homeomorphisms acts locally. 1965 Schori R.M. Universal chainable continuum. 1967 Smale S. Buckethandle in a horseshoe shape as the fixed set of a mapping square into a horseshoe. 1967 Cook H. Cook's continuum (a continuum admitting only the identity or a constant mapping onto itself). 1969 Krasinkiewicz J. Sierpinski universal plane curve is 1/2-homogeneous. 1970 Rogers J.T. A pseudo-solenoid is a common model for circle-like continua. 1970 Rogers J.T. The pseudo-circle is not homogeneous. 1970 Fearnley L. The pseudo-circle is unique. 1971 Lelek A. Houston problem book. 1972 Ingram W.T. An atriodic tree-like continuum with positive span. 1972 Bennett R.B. Menger universal curve is countable dense homogeneous. 1972 Charatonik J.J. Problem posing (?) challenge over problem solving (exists) and generalisations (for all). 1973 Nadler Sam B. Jr. The indecomposability of the dyadic solenoid. 1974 Rosenholtz I. Open image of a chainable continuum is chainable. 1975 Ungar G.S. 2-homogeneous continuum is locally connected. 1977 Hagopian Ch.L. Solenoids (homogeneous continua with only arc subcontinua). 1977 Rogers J.T. Solenoids of pseudo-arcs. 1978 Charatonik J.J. Arc-like openly homogenous continuum is the pseudo-arc. 1978 Curtis D.W. Hyperspaces of closed subsets of Peano continua are Hilbert cubes. 1978 Schori R.M. Hyperspaces of closed subsets of Peano continua are Hilbert cubes. 1978 Illanes A. Hyperspaces of sets. Book I 1978 Grispolakis J. Universal smooth dendroid. 1978 Tymchatyn E.D. Universal smooth dendroid. 1979 Bellamy D.P. A nonplanar tree-like continuum which admits a fixed point free mapping. 1979 Ingram W.T. Hereditarily indecomposable tree-like continua. 1980 Krasinkiewicz J. A dendroid with a monotone open map onto an arc. 1980 Minc P. A dendroid with a monotone open map onto an arc. 1980 Oversteegen Lex G. A dendroid with a monotone open map onto an arc. 1980 Mill J. van A Peano continuum homeomorphic to its own square but not to its countable infinite product. 1980 Iliadis S.D. Universal completely regular continuum (each nondegenerate subcontinuum has a nonempty interior). 1982 Oversteegen Lex Indecomposable homogeneous planar continuum has span zero. 1982 Tymchatyn E.D. Indecomposable homogeneous planar continuum has span zero. 1984 Charatonik J.J. Example of a smooth dendroid without ordinary points. 1984 Nikiel J. Gehman dendroid is the only dendrite with its set of end-points homeomorphic to the Cantor set. 1985 Mackowiak T. A universal hereditarily indecomposable continuum. 1986 Kennedy J. Pseudo-circle has uncountably many orbits each of which is the union of uncountably many composants. 1986 Rogers J.T. Pseudo-circle has uncountably many orbits each of which is the union of uncountably many composants. 1988 Mackowiak T. A characterization of finitely irreducible continua. 1989 Charatonik J.J. A fan is smooth iff can be embedded into the Cantor fan. 1989 Charatonik W.J. A fan is smooth iff can be embedded into the Cantor fan. 1989 Charatonik W.J. Lelek fan is the unique smooth fan with a dense set of endpoints. 1990 Kuperberg K. A locally connected homogeneous non-bihomogeneous continuum of dimension 7. 1990 Krupski P. Homogeneous tree-like continua are hereditarily indecomposable. 1990 Prajs J.R. Homogeneous tree-like continua are hereditarily indecomposable. 1991 Minc P. A transitive map on [0,1] whose inverse limit is the pseudo-arc. 1991 Transue W.R.R. A transitive map on [0,1] whose inverse limit is the pseudo-arc. 1992 Nadler Sam B. Jr. Continuum Theory. An Introduction. Book II 1993 Nadler Sam B. Jr. A continuum separated by each of its nondegenerate proper subcontinua. 1993 Seldomridge Gary A. A continuum separated by each of its nondegenerate proper subcontinua. 1993 Bellamy D. A tree-like continuum without the fixed-point property. 1993 Minc P. An atriodic simple-4-od-like continuum which is not simple-triod-like. 1993 Aarts J.M. Hairy arc. 1993 Oversteegen L.G. Hairy arc. 1994 Bandt Ch. Non-zero composants of the Buckethandle are homeomorphic. 1995 Kennedy J. Buckethandle as an inverse limit of circles using a single bonding map. 1996 Hagopian Ch. L. Simply connected plane continua have the fixed-point property. 1999 Lewis W. An example of a chainable continuum that admits an exactly 2-to-1 mapping onto a continuum. 1999 Illanes A. Hyperspaces. Book III 1999 Nadler Sam B. Jr. Hyperspaces. Book III 1999 Lewis W. Pseudo-arc maturity. 1999 Illanes A. The Continuum theory hyperspace in Mexico. 1999 Minc P. There exists a tree-like weakly chainable continuum without the fixed-point property. 2000 Prajs J.R. A continuous decomposition of the Menger curve into pseudo-arcs. 2002 Illanes A. Buckethandle admits no mean. 2003 Minc P. Buckethandle is mapped onto a planar dedroid with point-inverses at most of cardinality 3. 2003 Minc P. Planar dendroid contains a single point bottleneck. 2005 Macias S. Topics on continua. Book IV 2010 Illanes A. The arc is the only chainable continuum admitting a mean. 2010 Villanueva H. The arc is the only chainable continuum admitting a mean. 2011 Hoehn L.C. A non-chainable plane continuum with span zero. 2012 Ingram W.T. Inverse limit of books on inverse limit... 2013 Vejnar B. Acrless-arc, the arc-like arc-less continuum with two endpoints. 2013 Hoehn L.C. An uncountable collection of copies of a non-chainable tree-like continuum in the plane. 2014 Sturm F. Pseudo-solenoid is not continuously homogeneous. 2015 Mill J. van Pseudo-arc is the only continuum with homeomorphically near property. 2015 Banic I. Standard universal dendrite of order 3 as an inverse limit of arcs with one binding map. 2015 Martinez-de-la-Vega V. Standard universal dendrite of order 3 as an inverse limit of arcs with one binding map. 2016 Prajs J.R. Arcwise connected homogeneous continuum is a continuous image of the Cantor fan. 2016 Hoehn L.C. Classification of planar homogeneous continua. 2016 Oversteegen Lex Classification of planar homogeneous continua. 2016 Vejnar B. Two non-block points in any continuum. 2020 Hoehn L.C. Classification of hereditarily equivalent plane continua. 2020 Oversteegen Lex Classification of hereditarily equivalent plane continua.

(B) 1883-2022 setup of winners SORTED BY NAME 1993 Aarts J.M. Hairy arc. 1924 Alexander J.W. Alexander horned sphere, a wild embedding of a sphere into space. 1952 Anderson R.D. A continuous decomposition of the plane into nonseparating subcontinua. 1958 Anderson R.D. Menger universal curve is homogeneous. 1959 Anderson R.D. A plane continuum no two of whose nendegenerate subcontinua are homeomorphic. 1920 Antoine L. Antoine's necklace (wild embedding of the Cantor set). 1922 Antoine L. Antoine's arc (wild embedding of the arc). 1994 Bandt Ch. Non-zero composants of the Buckethandle are homeomorphic. 2015 Banic I. Standard universal dendrite of order 3 as an inverse limit of arcs with one binding map. 1993 Bellamy D. A tree-like continuum without the fixed-point property. 1979 Bellamy D.P. A nonplanar tree-like continuum which admits a fixed point free mapping. 1972 Bennett R.B. Menger universal curve is countable dense homogeneous. 1945 Besicovitch A.S. A dendrite such that no two of its open sets are homeomorphic. 1951 Bing R.H. Planar non-chainable circularly chainable hereditarily indecomposable continuum (a pseudo-circle). 1948 Bing R.H. Homogeneity of the pseudo-arc. 1959 Bing R.H. The circle of pseudo-arcs. 1934 Borsuk K. The dunce hat (Borsuk's tube, acyclic polyhedron which is not the union of two acyclic polyhedra). 1947 Borsuk K. An example of a simple arc in space whose projection in every plane has interior points. 1963 Borsuk K. Borsuk nonplanar fan. 1910 Brouwer L.E.J. Buckethandle as the simplest indecomposable continuum. 1883 Cantor G. Continuum is a compact playground for any small ant. 1937 Claytor S. Two Claytor continua block planarity of a Peano continuum. 1967 Cook H. Cook's continuum (a continuum admitting only the identity or a constant mapping onto itself). 1978 Curtis D.W. Hyperspaces of closed subsets of Peano continua are Hilbert cubes. 1930 Dantzig D. von Homogeneity of a solenoid. 1965 Effros E.G. The group of homeomorphisms acts locally. 1970 Fearnley L. The pseudo-circle is unique. 1937 Freudenthal H. Solenoid as an inverse limit. 1925 Gehman H.M. Dendrite with ramification points of order 3 and end points forming the Cantor set. 1978 Grispolakis J. Universal smooth dendroid. 1996 Hagopian Ch. L. Simply connected plane continua have the fixed-point property. 1977 Hagopian Ch.L. Solenoids (homogeneous continua with only arc subcontinua). 1914 Hahn H. Locally connected continuum is a continuous image of [0,1]. 1951 Hamilton O.H. Each chainable continuum has the fixed-point property. 1964 Henderson G. Arc is the only decomposable hereditarily equivalent continuum. 1964 Henderson G. The pseudo-arc is an inverse limit using only one binding map. 1900 Hilbert D. Hilbert cube containing a copy of any continuum. 2011 Hoehn L.C. A non-chainable plane continuum with span zero. 2013 Hoehn L.C. An uncountable collection of copies of a non-chainable tree-like continuum in the plane. 2016 Hoehn L.C. Classification of planar homogeneous continua. 2020 Hoehn L.C. Classification of hereditarily equivalent plane continua. 1964 Charatonik J.J. Unicoherence of locally connected continua is an invariant under confluent mappings. 1972 Charatonik J.J. Problem posing (?) challenge over problem solving (exists) and generalisations (for all). 1978 Charatonik J.J. Arc-like openly homogenous continuum is the pseudo-arc. 1984 Charatonik J.J. Example of a smooth dendroid without ordinary points. 1989 Charatonik J.J. A fan is smooth iff can be embedded into the Cantor fan. 1989 Charatonik W.J. A fan is smooth iff can be embedded into the Cantor fan. 1989 Charatonik W.J. Lelek fan is the unique smooth fan with a dense set of endpoints. 1959 Choquet G. A plane continuum no two of whose nendegenerate subcontinua are homeomorphic. 1980 Iliadis S.D. Universal completely regular continuum (each nondegenerate subcontinuum has a nonempty interior). 1978 Illanes A. Hyperspaces of sets. Book I 1999 Illanes A. Hyperspaces. Book III 1999 Illanes A. The Continuum theory hyperspace in Mexico. 2002 Illanes A. Buckethandle admits no mean. 2010 Illanes A. The arc is the only chainable continuum admitting a mean. 1972 Ingram W.T. An atriodic tree-like continuum with positive span. 1979 Ingram W.T. Hereditarily indecomposable tree-like continua. 2012 Ingram W.T. Inverse limit of books on inverse limit... 1959 Isbell J.R. Chainable continuum is an inverse limit of an inverse sequence of arcs. 1912 Janiszewski Z. Arc-less continuum. 1912 Janiszewski Z. Buckethandle in an angular shape. 1918 Janiszewski Z. Foundation of Fundamenta Mathematicae journal (with W. Sierpinski and S. Mazurkiewicz). 1948 Jones F. B. T function (the complement of T(A) contains the interior points of subcontinua not meeting A). 1959 Jones F. B. The circle of pseudo-arcs. 1887 Jordan C. Each simple closed planar curve surrounds its inside and outside. 1931 Keller O.H. Hilbert cube is homogeneous. 1986 Kennedy J. Pseudo-circle has uncountably many orbits each of which is the union of uncountably many composants. 1995 Kennedy J. Buckethandle as an inverse limit of circles using a single bonding map. 1922 Knaster B. Buckethandle in a round shape. 1922 Knaster B. Pseudo-arc, the nondegenerate hereditarily indecomposable continuum. 1969 Krasinkiewicz J. Sierpinski universal plane curve is 1/2-homogeneous. 1980 Krasinkiewicz J. A dendroid with a monotone open map onto an arc. 1990 Krupski P. Homogeneous tree-like continua are hereditarily indecomposable. 1990 Kuperberg K. A locally connected homogeneous non-bihomogeneous continuum of dimension 7. 1927 Kuratowski K. A point of irreducibility in a continuum is not contained in two proper subcontinua (a characterization). 1930 Kurtowski K. Planability test for local dendrites (cannot contain two special continua). 1961 Lelek A. The Lelek fan (a smooth fan with a dense set of endpoints). 1962 Lelek A. Weakly chainable continua are exactly continuous images of the pseudo-arc. 1964 Lelek A. Span zero (no two points can change the position on a continuum). 1971 Lelek A. Houston problem book. 1999 Lewis W. An example of a chainable continuum that admits an exactly 2-to-1 mapping onto a continuum. 1999 Lewis W. Pseudo-arc maturity. 2005 Macias S. Topics on continua. Book IV 1985 Mackowiak T. A universal hereditarily indecomposable continuum. 1988 Mackowiak T. A characterization of finitely irreducible continua. 2015 Martinez-de-la-Vega V. Standard universal dendrite of order 3 as an inverse limit of arcs with one binding map. 1914 Mazurkiewicz S. Sierpinski carpet contains only ramification points of infinite order. 1920 Mazurkiewicz S. Locally connected continuum is a continuous image of [0,1]. 1924 Mazurkiewicz S. Each locally connected homogeneous plane continuum is a simple closed curve. 1930 Mazurkiewicz S. A typical continuum is hereditarily indecomposable. 1935 Mazurkiewicz S. Any compact metric space of dimension 2 contains a nondegenerate indecomposable continuum. 1926 Menger K. Homogeneous Menger sponge containing a copy of every curve. 1980 Mill J. van A Peano continuum homeomorphic to its own square but not to its countable infinite product. 2015 Mill J. van Pseudo-arc is the only continuum with homeomorphically near property. 1932 Miller E.W. A dendrite not containing its proper copy. 1980 Minc P. A dendroid with a monotone open map onto an arc. 1991 Minc P. A transitive map on [0,1] whose inverse limit is the pseudo-arc. 1993 Minc P. An atriodic simple-4-od-like continuum which is not simple-triod-like. 1999 Minc P. There exists a tree-like weakly chainable continuum without the fixed-point property. 2003 Minc P. Buckethandle is mapped onto a planar dedroid with point-inverses at most of cardinality 3. 2003 Minc P. Planar dendroid contains a single point bottleneck. 1948 Moise E.E. Indecomposable planar continuum homeomorphic to each of its nondegenerate subcontinua (the pseudo-arc). 1916 Moore R.L. Chainable continuum. 1920 Moore R.L. Two non-cut points in any continuum. 1973 Nadler Sam B. Jr. The indecomposability of the dyadic solenoid. 1992 Nadler Sam B. Jr. Continuum Theory. An Introduction. Book II 1993 Nadler Sam B. Jr. A continuum separated by each of its nondegenerate proper subcontinua. 1999 Nadler Sam B. Jr. Hyperspaces. Book III 1984 Nikiel J. Gehman dendroid is the only dendrite with its set of end-points homeomorphic to the Cantor set. 1993 Oversteegen L.G. Hairy arc. 1982 Oversteegen Lex Indecomposable homogeneous planar continuum has span zero. 2016 Oversteegen Lex Classification of planar homogeneous continua. 2020 Oversteegen Lex Classification of hereditarily equivalent plane continua. 1980 Oversteegen Lex G. A dendroid with a monotone open map onto an arc. 1902 Painleve P. A decreasing sequence of continua forms a continuum. 1890 Peano G. Drawing a full square with a segment. 1990 Prajs J.R. Homogeneous tree-like continua are hereditarily indecomposable. 2000 Prajs J.R. A continuous decomposition of the Menger curve into pseudo-arcs. 2016 Prajs J.R. Arcwise connected homogeneous continuum is a continuous image of the Cantor fan. 1929 Roberts J.H. Upper semicontinuous decomposition of the plane into nonseparating locally connected subcontinua. 1970 Rogers J.T. A pseudo-solenoid is a common model for circle-like continua. 1970 Rogers J.T. The pseudo-circle is not homogeneous. 1977 Rogers J.T. Solenoids of pseudo-arcs. 1986 Rogers J.T. Pseudo-circle has uncountably many orbits each of which is the union of uncountably many composants. 1974 Rosenholtz I. Open image of a chainable continuum is chainable. 1993 Seldomridge Gary A. A continuum separated by each of its nondegenerate proper subcontinua. 1965 Schori R.M. Universal chainable continuum. 1978 Schori R.M. Hyperspaces of closed subsets of Peano continua are Hilbert cubes. 1915 Sierpinski W. Half homogeneous Sierpinski carpet containing a copy of every planar curve. 1915 Sierpinski W. Sierpinski triangle with only ramification points. 1918 Sierpinski W. Any continuum is sigma connected, not a countable union of disjoint closed sets. 1937 Sierpinski W. Arc mapped onto Hilbert cube. 1967 Smale S. Buckethandle in a horseshoe shape as the fixed set of a mapping square into a horseshoe. 1944 Sorgenfrey R.H. Every nondegenerate unicoherent continuum which is not a triod is irreducible. 2014 Sturm F. Pseudo-solenoid is not continuously homogeneous. 1991 Transue W.R.R. A transitive map on [0,1] whose inverse limit is the pseudo-arc. 1978 Tymchatyn E.D. Universal smooth dendroid. 1982 Tymchatyn E.D. Indecomposable homogeneous planar continuum has span zero. 1975 Ungar G.S. 2-homogeneous continuum is locally connected. 2013 Vejnar B. Acrless-arc, the arc-like arc-less continuum with two endpoints. 2016 Vejnar B. Two non-block points in any continuum. 1927 Vietoris L. Solenoid (in a sequence folding tube in a previous tube twice). 2010 Villanueva H. The arc is the only chainable continuum admitting a mean. 1912 Wada T. Lakes of Wada (three disjoint connected open sets of the plane with the same boundary). 1932 Waraszkiewicz Z. Waraszkiewicz's spirals ( an uncountable family of continuously incomparable planar curves). 1923 Wazewski T. Wazewski universal dendrite containing a copy of any dendrite. 1930 Whyburn G.T. Whyburn's curve, a continuum every subcontinuum of which separates the plane. 1936 Whyburn G.T. Decomposition of 3-space into 3-space using Antoine's arc and points.

(C) 1883-2022 setup of winners SORTED BY YEAR with separators ";" for importing into spreadsheet: 1883 ; Cantor ; G. ; Continuum is a compact playground for any small ant. 1887 ; Jordan ; C. ; Each simple closed planar curve surrounds its inside and outside. 1890 ; Peano ; G. ; Drawing a full square with a segment. 1900 ; Hilbert ; D. ; Hilbert cube containing a copy of any continuum. 1902 ; Painleve ; P. ; A decreasing sequence of continua forms a continuum. 1910 ; Brouwer ; L.E.J. ; Buckethandle as the simplest indecomposable continuum. 1912 ; Janiszewski ; Z. ; Arc-less continuum. 1912 ; Janiszewski ; Z. ; Buckethandle in an angular shape. 1912 ; Wada ; T. ; Lakes of Wada (three disjoint connected open sets of the plane with the same boundary). 1914 ; Hahn ; H. ; Locally connected continuum is a continuous image of [0,1]. 1914 ; Mazurkiewicz ; S. ; Sierpinski carpet contains only ramification points of infinite order. 1915 ; Sierpinski ; W. ; Half homogeneous Sierpinski carpet containing a copy of every planar curve. 1915 ; Sierpinski ; W. ; Sierpinski triangle with only ramification points. 1916 ; Moore ; R.L. ; Chainable continuum. 1918 ; Sierpinski ; W. ; Any continuum is sigma connected, not a countable union of disjoint closed sets. 1918 ; Janiszewski ; Z. ; Foundation of Fundamenta Mathematicae journal (with W. Sierpinski and S. Mazurkiewicz). 1920 ; Antoine ; L. ; Antoine's necklace (wild embedding of the Cantor set). 1920 ; Mazurkiewicz ; S. ; Locally connected continuum is a continuous image of [0,1]. 1920 ; Moore ; R.L. ; Two non-cut points in any continuum. 1922 ; Antoine ; L. ; Antoine's arc (wild embedding of the arc). 1922 ; Knaster ; B. ; Buckethandle in a round shape. 1922 ; Knaster ; B. ; Pseudo-arc, the nondegenerate hereditarily indecomposable continuum. 1923 ; Wazewski ; T. ; Wazewski universal dendrite containing a copy of any dendrite. 1924 ; Alexander ; J.W. ; Alexander horned sphere, a wild embedding of a sphere into space. 1924 ; Mazurkiewicz ; S. ; Each locally connected homogeneous plane continuum is a simple closed curve. 1925 ; Gehman ; H.M. ; Dendrite with ramification points of order 3 and end points forming the Cantor set. 1926 ; Menger ; K. ; Homogeneous Menger sponge containing a copy of every curve. 1927 ; Kuratowski ; K. ; A point of irreducibility in a continuum is not contained in two proper subcontinua (a characterization). 1927 ; Vietoris ; L. ; Solenoid (in a sequence folding tube in a previous tube twice). 1929 ; Roberts ; J.H. ; Upper semicontinuous decomposition of the plane into nonseparating locally connected subcontinua. 1930 ; Mazurkiewicz ; S. ; A typical continuum is hereditarily indecomposable. 1930 ; Dantzig ; D. von ; Homogeneity of a solenoid. 1930 ; Kurtowski ; K. ; Planability test for local dendrites (cannot contain two special continua). 1930 ; Whyburn ; G.T. ; Whyburn's curve, a continuum every subcontinuum of which separates the plane. 1931 ; Keller ; O.H. ; Hilbert cube is homogeneous. 1932 ; Miller ; E.W. ; A dendrite not containing its proper copy. 1932 ; Waraszkiewicz ; Z. ; Waraszkiewicz's spirals ( an uncountable family of continuously incomparable planar curves). 1934 ; Borsuk ; K. ; The dunce hat (Borsuk's tube, acyclic polyhedron which is not the union of two acyclic polyhedra). 1935 ; Mazurkiewicz ; S. ; Any compact metric space of dimension 2 contains a nondegenerate indecomposable continuum. 1936 ; Whyburn ; G.T. ; Decomposition of 3-space into 3-space using Antoine's arc and points. 1937 ; Sierpinski ; W. ; Arc mapped onto Hilbert cube. 1937 ; Freudenthal ; H. ; Solenoid as an inverse limit. 1937 ; Claytor ; S. ; Two Claytor continua block planarity of a Peano continuum. 1944 ; Sorgenfrey ; R.H. ; Every nondegenerate unicoherent continuum which is not a triod is irreducible. 1945 ; Besicovitch ; A.S. ; A dendrite such that no two of its open sets are homeomorphic. 1947 ; Borsuk ; K. ; An example of a simple arc in space whose projection in every plane has interior points. 1948 ; Bing ; R.H. ; Homogeneity of the pseudo-arc. 1948 ; Moise ; E.E. ; Indecomposable planar continuum homeomorphic to each of its nondegenerate subcontinua (the pseudo-arc). 1948 ; Jones ; F. B. ; T function (the complement of T(A) contains the interior points of subcontinua not meeting A). 1951 ; Hamilton ; O.H. ; Each chainable continuum has the fixed-point property. 1951 ; Bing ; R.H. ; Planar non-chainable circularly chainable hereditarily indecomposable continuum (a pseudo-circle). 1952 ; Anderson ; R.D. ; A continuous decomposition of the plane into nonseparating subcontinua. 1958 ; Anderson ; R.D. ; Menger universal curve is homogeneous. 1959 ; Anderson ; R.D. ; A plane continuum no two of whose nendegenerate subcontinua are homeomorphic. 1959 ; Choquet ; G. ; A plane continuum no two of whose nendegenerate subcontinua are homeomorphic. 1959 ; Isbell ; J.R. ; Chainable continuum is an inverse limit of an inverse sequence of arcs. 1959 ; Bing ; R.H. ; The circle of pseudo-arcs. 1959 ; Jones ; F. B. ; The circle of pseudo-arcs. 1961 ; Lelek ; A. ; The Lelek fan (a smooth fan with a dense set of endpoints). 1962 ; Lelek ; A. ; Weakly chainable continua are exactly continuous images of the pseudo-arc. 1963 ; Borsuk ; K. ; Borsuk nonplanar fan. 1964 ; Henderson ; G. ; Arc is the only decomposable hereditarily equivalent continuum. 1964 ; Lelek ; A. ; Span zero (no two points can change the position on a continuum). 1964 ; Henderson ; G. ; The pseudo-arc is an inverse limit using only one binding map. 1964 ; Charatonik ; J.J. ; Unicoherence of locally connected continua is an invariant under confluent mappings. 1965 ; Effros ; E.G. ; The group of homeomorphisms acts locally. 1965 ; Schori ; R.M. ; Universal chainable continuum. 1967 ; Smale ; S. ; Buckethandle in a horseshoe shape as the fixed set of a mapping square into a horseshoe. 1967 ; Cook ; H. ; Cook's continuum (a continuum admitting only the identity or a constant mapping onto itself). 1969 ; Krasinkiewicz ; J. ; Sierpinski universal plane curve is 1/2-homogeneous. 1970 ; Rogers ; J.T. ; A pseudo-solenoid is a common model for circle-like continua. 1970 ; Rogers ; J.T. ; The pseudo-circle is not homogeneous. 1970 ; Fearnley ; L. ; The pseudo-circle is unique. 1971 ; Lelek ; A. ; Houston problem book. 1972 ; Ingram ; W.T. ; An atriodic tree-like continuum with positive span. 1972 ; Bennett ; R.B. ; Menger universal curve is countable dense homogeneous. 1972 ; Charatonik ; J.J. ; Problem posing (?) challenge over problem solving (exists) and generalisations (for all). 1973 ; Nadler ; Sam B. Jr. ; The indecomposability of the dyadic solenoid. 1974 ; Rosenholtz ; I. ; Open image of a chainable continuum is chainable. 1975 ; Ungar ; G.S. ; 2-homogeneous continuum is locally connected. 1977 ; Hagopian ; Ch.L. ; Solenoids (homogeneous continua with only arc subcontinua). 1977 ; Rogers ; J.T. ; Solenoids of pseudo-arcs. 1978 ; Charatonik ; J.J. ; Arc-like openly homogenous continuum is the pseudo-arc. 1978 ; Curtis ; D.W. ; Hyperspaces of closed subsets of Peano continua are Hilbert cubes. 1978 ; Schori ; R.M. ; Hyperspaces of closed subsets of Peano continua are Hilbert cubes. 1978 ; Illanes ; A. ; Hyperspaces of sets. Book I 1978 ; Grispolakis ; J. ; Universal smooth dendroid. 1978 ; Tymchatyn ; E.D. ; Universal smooth dendroid. 1979 ; Bellamy ; D.P. ; A nonplanar tree-like continuum which admits a fixed point free mapping. 1979 ; Ingram ; W.T. ; Hereditarily indecomposable tree-like continua. 1980 ; Krasinkiewicz ; J. ; A dendroid with a monotone open map onto an arc. 1980 ; Minc ; P. ; A dendroid with a monotone open map onto an arc. 1980 ; Oversteegen ; Lex G. ; A dendroid with a monotone open map onto an arc. 1980 ; Mill ; J. van ; A Peano continuum homeomorphic to its own square but not to its countable infinite product. 1980 ; Iliadis ; S.D. ; Universal completely regular continuum (each nondegenerate subcontinuum has a nonempty interior). 1982 ; Oversteegen ; Lex ; Indecomposable homogeneous planar continuum has span zero. 1982 ; Tymchatyn ; E.D. ; Indecomposable homogeneous planar continuum has span zero. 1984 ; Charatonik ; J.J. ; Example of a smooth dendroid without ordinary points. 1984 ; Nikiel ; J. ; Gehman dendroid is the only dendrite with its set of end-points homeomorphic to the Cantor set. 1985 ; Mackowiak ; T. ; A universal hereditarily indecomposable continuum. 1986 ; Kennedy ; J. ; Pseudo-circle has uncountably many orbits each of which is the union of uncountably many composants. 1986 ; Rogers ; J.T. ; Pseudo-circle has uncountably many orbits each of which is the union of uncountably many composants. 1988 ; Mackowiak ; T. ; A characterization of finitely irreducible continua. 1989 ; Charatonik ; J.J. ; A fan is smooth iff can be embedded into the Cantor fan. 1989 ; Charatonik ; W.J. ; A fan is smooth iff can be embedded into the Cantor fan. 1989 ; Charatonik ; W.J. ; Lelek fan is the unique smooth fan with a dense set of endpoints. 1990 ; Kuperberg ; K. ; A locally connected homogeneous non-bihomogeneous continuum of dimension 7. 1990 ; Krupski ; P. ; Homogeneous tree-like continua are hereditarily indecomposable. 1990 ; Prajs ; J.R. ; Homogeneous tree-like continua are hereditarily indecomposable. 1991 ; Minc ; P. ; A transitive map on [0,1] whose inverse limit is the pseudo-arc. 1991 ; Transue ; W.R.R. ; A transitive map on [0,1] whose inverse limit is the pseudo-arc. 1992 ; Nadler ; Sam B. Jr. ; Continuum Theory. An Introduction. Book II 1993 ; Nadler ; Sam B. Jr. ; A continuum separated by each of its nondegenerate proper subcontinua. 1993 ; Seldomridge ; Gary A. ; A continuum separated by each of its nondegenerate proper subcontinua. 1993 ; Bellamy ; D. ; A tree-like continuum without the fixed-point property. 1993 ; Minc ; P. ; An atriodic simple-4-od-like continuum which is not simple-triod-like. 1993 ; Aarts ; J.M. ; Hairy arc. 1993 ; Oversteegen ; L.G. ; Hairy arc. 1994 ; Bandt ; Ch. ; Non-zero composants of the Buckethandle are homeomorphic. 1995 ; Kennedy ; J. ; Buckethandle as an inverse limit of circles using a single bonding map. 1996 ; Hagopian ; Ch. L. ; Simply connected plane continua have the fixed-point property. 1999 ; Lewis ; W. ; An example of a chainable continuum that admits an exactly 2-to-1 mapping onto a continuum. 1999 ; Illanes ; A. ; Hyperspaces. Book III 1999 ; Nadler ; Sam B. Jr. ; Hyperspaces. Book III 1999 ; Lewis ; W. ; Pseudo-arc maturity. 1999 ; Illanes ; A. ; The Continuum theory hyperspace in Mexico. 1999 ; Minc ; P. ; There exists a tree-like weakly chainable continuum without the fixed-point property. 2000 ; Prajs ; J.R. ; A continuous decomposition of the Menger curve into pseudo-arcs. 2002 ; Illanes ; A. ; Buckethandle admits no mean. 2003 ; Minc ; P. ; Buckethandle is mapped onto a planar dedroid with point-inverses at most of cardinality 3. 2003 ; Minc ; P. ; Planar dendroid contains a single point bottleneck. 2005 ; Macias ; S. ; Topics on continua. Book IV 2010 ; Illanes ; A. ; The arc is the only chainable continuum admitting a mean. 2010 ; Villanueva ; H. ; The arc is the only chainable continuum admitting a mean. 2011 ; Hoehn ; L.C. ; A non-chainable plane continuum with span zero. 2012 ; Ingram ; W.T. ; Inverse limit of books on inverse limit... 2013 ; Vejnar ; B. ; Acrless-arc, the arc-like arc-less continuum with two endpoints. 2013 ; Hoehn ; L.C. ; An uncountable collection of copies of a non-chainable tree-like continuum in the plane. 2014 ; Sturm ; F. ; Pseudo-solenoid is not continuously homogeneous. 2015 ; Mill ; J. van ; Pseudo-arc is the only continuum with homeomorphically near property. 2015 ; Banic ; I. ; Standard universal dendrite of order 3 as an inverse limit of arcs with one binding map. 2015 ; Martinez-de-la-Vega ; V. ; Standard universal dendrite of order 3 as an inverse limit of arcs with one binding map. 2016 ; Prajs ; J.R. ; Arcwise connected homogeneous continuum is a continuous image of the Cantor fan. 2016 ; Hoehn ; L.C. ; Classification of planar homogeneous continua. 2016 ; Oversteegen ; Lex ; Classification of planar homogeneous continua. 2016 ; Vejnar ; B. ; Two non-block points in any continuum. 2020 ; Hoehn ; L.C. ; Classification of hereditarily equivalent plane continua. 2020 ; Oversteegen ; Lex ; Classification of hereditarily equivalent plane continua.