On Cosserat continua
S. Drobot (1971)
Applicationes Mathematicae
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Displaying similar documents to “Non-separating subcontinua of planar continua”
On Cosserat continua
Chainable continua and homeomorphisms of the plane onto itself
Mirosław Sobolewski (1984)
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.
Continua which cannot be mapped onto any nonplaner circle-like continuum
George W. Henderson (1971)
Colloquium 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.
Connection between set theory and the fixed point property
Roman Mańka (1987)
Colloquium Mathematicae
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On the depth of a continuum
P. Spyrou (1992)
Matematički Vesnik
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On decompositions of hereditarily smooth continua
T. Maćkowiak (1977)
Fundamenta Mathematicae
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On internal composants of indecomposable plane continua
J. Krasinkiewicz (1974)
Fundamenta Mathematicae
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Cylinders over λ-dendroids have the fixed point property
Roman Mańka (2002)
Fundamenta Mathematicae
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It is proved that the cylinder X × I over a λ-dendroid X has the fixed point property. The proof uses results of [9] and [10].
1/2-Homogeneous hyperspace suspensions
Sergio Macías, Patricia Pellicer-Covarrubias (2012)
Colloquium Mathematicae
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We continue the study of 1/2-homogeneity of the hyperspace suspension of continua. We prove that if X is a decomposable continuum and its hyperspace suspension is 1/2-homogeneous, then X must be continuum chainable. We also characterize 1/2-homogeneity of the hyperspace suspension for several classes of continua, including: continua containing a free arc, atriodic and decomposable continua, and decomposable irreducible continua about a finite set.
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.
On piecewise confluent mappings.
Charatonik, Janusz J., Pyrih, Pavel (2000)
Mathematica Pannonica
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Expansive collections of continua
Donald E. Bennett (1978)
Commentationes Mathematicae Universitatis Carolinae
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