Continua which cannot be mapped onto any nonplaner circle-like continuum
George W. Henderson (1971)
Colloquium Mathematicae
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Displaying similar documents to “Chainable continua and homeomorphisms of the plane onto itself”
Continua which cannot be mapped onto any nonplaner circle-like continuum
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 internal composants of indecomposable plane continua
J. Krasinkiewicz (1974)
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.
On Cosserat continua
S. Drobot (1971)
Applicationes Mathematicae
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On piecewise confluent mappings.
Charatonik, Janusz J., Pyrih, Pavel (2000)
Mathematica Pannonica
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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.
Expansive collections of continua
Donald E. Bennett (1978)
Commentationes Mathematicae Universitatis Carolinae
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On the hyperspaces of hereditarily indecomposable continua
J. Krasinkiewicz (1974)
Fundamenta Mathematicae
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Irreducibility of inverse limits on intervals
David Ryden (2000)
Fundamenta Mathematicae
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A procedure for obtaining points of irreducibility for an inverse limit on intervals is developed. In connection with this, the following are included. A semiatriodic continuum is defined to be a continuum that contains no triod with interior. Characterizations of semiatriodic and unicoherent continua are given, as well as necessary and sufficient conditions for a subcontinuum of a semiatriodic and unicoherent continuum M to lie within the interior of a proper subcontinuum of M. ...
An atriodic tree-like continuum with positive span
W. Ingram (1972)
Fundamenta Mathematicae
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Whitney properties
J. Krasinkiewicz, Sam Nadler (1978)
Fundamenta Mathematicae
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