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 “Inverse limit spaces defined by only finitely many distinct bonding maps”
A chainable continuum not homeomorphic to an inverse limit on [0, 1] with only one bonding map
Continuum many tent map inverse limits with homeomorphic postcritical ω-limit sets
Chris Good, Brian E. Raines (2006)
Fundamenta Mathematicae
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We demonstrate that the set of topologically distinct inverse limit spaces of tent maps with a Cantor set for its postcritical ω-limit set has cardinality of the continuum. The set of folding points (i.e. points at which the space is not homeomorphic to the product of a zero-dimensional set and an arc) of each of these spaces is also a Cantor set.
The irreducibility of continua which are the inverse limit of a collection of Hausdorff arcs
Michel Smith (1977)
Fundamenta Mathematicae
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A hereditarily indecomposable, hereditarily non-chainable planar tree-like continuum
Lee Mohler, Lex Oversteegen (1984)
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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Whitney properties
J. Krasinkiewicz, Sam Nadler (1978)
Fundamenta 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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On topological types of the simplest indecomposable continua
W. Dębski (1985)
Colloquium Mathematicae
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On the hyperspaces of snake-like and circle-like continua
J. Krasinkiewicz (1974)
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.
Monotone images of -sets and hereditarily weakly confluent images of continua.
Hatch, Jonathan, Stanojević, Č.V. (2003)
Publications de l'Institut Mathématique. Nouvelle Série
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Continuous monotone decompositions of planar curves
J. Krasinkiewicz, Piotr Minc (1980)
Fundamenta Mathematicae
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Continua which admit no mean
K. Kawamura, E. Tymchatyn (1996)
Colloquium Mathematicae
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A symmetric, idempotent, continuous binary operation on a space is called a mean. In this paper, we provide a criterion for the non-existence of mean on a certain class of continua which includes tree-like continua. This generalizes a result of Bell and Watson. We also prove that any hereditarily indecomposable circle-like continuum admits no mean.