A chainable continuum not homeomorphic to an inverse limit on [0, 1] with only one bonding map
Dorothy S. Marsh (1980)
Colloquium Mathematicae
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Displaying similar documents to “Continuum many tent map inverse limits with homeomorphic postcritical ω-limit sets”
A chainable continuum not homeomorphic to an inverse limit on [0, 1] with only one bonding map
Inverse limit spaces defined by only finitely many distinct bonding maps
R. Jolly, James Rogers (1970)
Fundamenta Mathematicae
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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 . 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 . 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 topological types of the simplest indecomposable continua
W. Dębski (1985)
Colloquium Mathematicae
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The irreducibility of continua which are the inverse limit of a collection of Hausdorff arcs
Michel Smith (1977)
Fundamenta Mathematicae
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No arc-connected treelike continuum is the 2-to-1 image of a continuum
Jo Heath, Van C. Nall (2003)
Fundamenta Mathematicae
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In 1940, O. G. Harrold showed that no arc can be the exactly 2-to-1 continuous image of a metric continuum, and in 1947 W. H. Gottschalk showed that no dendrite is a 2-to-1 image. In 2003 we show that no arc-connected treelike continuum is the 2-to-1 image of a continuum.
Continua which cannot be mapped onto any nonplaner circle-like continuum
George W. Henderson (1971)
Colloquium Mathematicae
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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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Continua which admit only the identity mapping onto non-degenerate subcontinua
H. Cook (1967)
Fundamenta Mathematicae
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Chainable continua and homeomorphisms of the plane onto itself
Mirosław Sobolewski (1984)
Fundamenta Mathematicae
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Whitney properties
J. Krasinkiewicz, Sam Nadler (1978)
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. ...
Fully closed maps and non-metrizable higher-dimensional Anderson-Choquet continua
Jerzy Krzempek (2010)
Colloquium Mathematicae
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Fedorchuk's fully closed (continuous) maps and resolutions are applied in constructions of non-metrizable higher-dimensional analogues of Anderson, Choquet, and Cook's rigid continua. Certain theorems on dimension-lowering maps are proved for inductive dimensions and fully closed maps from spaces that need not be hereditarily normal, and some of the examples of continua we construct have non-coinciding dimensions.
On composants of solenoids.
de Man, Ronald (1995)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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