Chainable continua and homeomorphisms of the plane onto itself
Mirosław Sobolewski (1984)
Fundamenta Mathematicae
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Displaying similar documents to “Waraszkiewicz spirals revisited”
Chainable continua and homeomorphisms of the plane onto itself
A fixed-point anomaly in the plane
Charles L. Hagopian, Janusz R. Prajs (2005)
Fundamenta Mathematicae
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We define an unusual continuum M with the fixed-point property in the plane ℝ². There is a disk D in ℝ² such that M ∩ D is an arc and M ∪ D does not have the fixed-point property. This example answers a question of R. H. Bing. The continuum M is a countable union of arcs.
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.
On piecewise confluent mappings.
Charatonik, Janusz J., Pyrih, Pavel (2000)
Mathematica Pannonica
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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 internal composants of indecomposable plane continua
J. Krasinkiewicz (1974)
Fundamenta Mathematicae
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Continua which admit only the identity mapping onto non-degenerate subcontinua
H. Cook (1967)
Fundamenta Mathematicae
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Concerning triodic continua in the plane
R. Moore (1929)
Fundamenta Mathematicae
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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.
Continua with the periodic-recurrent property.
Acosta, Gerardo, Charatonik, Janusz J. (2004)
Mathematica Pannonica
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An atriodic tree-like continuum with positive span which admits a monotone mapping to a chainable continuum
James Davis, W. Ingram (1988)
Fundamenta Mathematicae
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On finitely equivalent continua.
Charatonik, Janusz J. (2003)
International Journal of Mathematics and Mathematical Sciences
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Clumps of continua
H. Cook (1974)
Fundamenta Mathematicae
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Tree-likeness of hereditarily equivalent continua
H. Cook (1970)
Fundamenta Mathematicae
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