Erratum to the paper “Composants of the horseshoe” by Christoph Bandt (Fund. Math. 144 (1994), 231–241)

Displaying similar documents to “Erratum to the paper “Composants of the horseshoe” by Christoph Bandt (Fund. Math. 144 (1994), 231–241)”

On indecomposability and composants of chaotic continua

Hisao Kato (1996)

Fundamenta Mathematicae

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A homeomorphism f:X → X of a compactum X with metric d is expansive if there is c > 0 such that if x,y ∈ X and x ≠ y, then there is an integer n ∈ ℤ such that $d (f^{n} (x), f^{n} (y)) > c$ . A homeomorphism f: X → X is continuum-wise expansive if there is c > 0 such that if A is a nondegenerate subcontinuum of X, then there is an integer n ∈ ℤ such that $d i a m i f^{n} (A) > c$ . Clearly, every expansive homeomorphism is continuum-wise expansive, but the converse assertion is not true. In [6], we defined the notion of chaotic continua...

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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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 composants of solenoids.

de Man, Ronald (1995)

Electronic Research Announcements of the American Mathematical Society [electronic only]

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Chainable continua and homeomorphisms of the plane onto itself

Mirosław Sobolewski (1984)

Fundamenta Mathematicae

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On the hyperspaces of snake-like and circle-like continua

J. Krasinkiewicz (1974)

Fundamenta Mathematicae

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Whitney properties

J. Krasinkiewicz, Sam Nadler (1978)

Fundamenta Mathematicae

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On piecewise confluent mappings.

Charatonik, Janusz J., Pyrih, Pavel (2000)

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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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. ...

Concerning indecomposable continua and upper semicontinuous collections of nondegenerate continua

Nell Stevenson (1972)

Fundamenta Mathematicae

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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.