A non-chainable plane continuum with span zero
L. C. Hoehn (2011)
Fundamenta Mathematicae
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A plane continuum is constructed which has span zero but is not chainable.
Displaying similar documents to “A fixed-point anomaly in the plane”
A non-chainable plane continuum with span zero
Non-separating subcontinua of planar continua
D. Daniel, C. Islas, R. Leonel, E. D. Tymchatyn (2015)
Colloquium Mathematicae
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We revisit an old question of Knaster by demonstrating that each non-degenerate plane hereditarily unicoherent continuum X contains a proper, non-degenerate subcontinuum which does not separate X.
Chainable continua and homeomorphisms of the plane onto itself
Mirosław Sobolewski (1984)
Fundamenta Mathematicae
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Concerning triodic continua in the plane
R. Moore (1929)
Fundamenta Mathematicae
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On internal composants of indecomposable plane continua
J. Krasinkiewicz (1974)
Fundamenta Mathematicae
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Continua which cannot be mapped onto any nonplaner circle-like continuum
George W. Henderson (1971)
Colloquium Mathematicae
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On finitely equivalent continua.
Charatonik, Janusz J. (2003)
International Journal of Mathematics and Mathematical Sciences
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On the hyperspaces of hereditarily indecomposable continua
J. Krasinkiewicz (1974)
Fundamenta Mathematicae
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Contractibility and continous selections
J. Chartonik (1980)
Fundamenta Mathematicae
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Clumps of continua
H. Cook (1974)
Fundamenta Mathematicae
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Waraszkiewicz spirals revisited
Pavel Pyrih, Benjamin Vejnar (2012)
Fundamenta Mathematicae
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We study compactifications of a ray with remainder a simple closed curve. We give necessary and sufficient conditions for the existence of a bijective (resp. surjective) mapping between two such continua. Using those conditions we present a simple proof of the existence of an uncountable family of plane continua no one of which can be continuously mapped onto any other (the first such family, so called Waraszkiewicz's spirals, was created by Z. Waraszkiewicz in the 1930's).
Connection between set theory and the fixed point property
Roman Mańka (1987)
Colloquium Mathematicae
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Concerning indecomposable continua and upper semicontinuous collections of nondegenerate continua
Nell Stevenson (1972)
Fundamenta Mathematicae
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On a problem of C. Kuratowski concerning upper semi-continuous collections
J. Roberts (1929)
Fundamenta Mathematicae
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An Exactly Two-to-One Map from an Indecomposable Chainable Continuum
Jerzy Krzempek (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
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It is shown that a certain indecomposable chainable continuum is the domain of an exactly two-to-one continuous map. This answers a question of Jo W. Heath.