Periodic homeomorphisms of chainable continua

Wayne Lewis

Displaying similar documents to “Periodic homeomorphisms of chainable continua”

Another application of the Effros theorem to the pseudo-arc

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Periodic homeomorphisms on chainable continua

Beverly Brechner (1969)

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Roman Mańka (1990)

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Lex Oversteegen, E. Tymchatyn (1984)

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Continua which admit no mean

K. Kawamura, E. Tymchatyn (1996)

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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.

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Eldon Vought, Van Nall (1991)

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Hisao Kato (1990)

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Sam Nadler, J. Quinn (1973)

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J. Krasinkiewicz, Sam Nadler (1978)

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Striped structures of stable and unstable sets of expansive homeomorphisms and a theorem of K. Kuratowski on independent sets

Hisao Kato (1993)

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We investigate striped structures of stable and unstable sets of expansive homeomorphisms and continuum-wise expansive homeomorphisms. The following theorem is proved: if f : X → X is an expansive homeomorphism of a compact metric space X with dim X > 0, then the decompositions $W^{S} (x) | x \in X$ and $W^{(} u) (x) | x \in X$ of X into stable and unstable sets of f respectively are uncountable, and moreover there is σ (= s or u) and ϱ > 0 such that there is a Cantor set C in X with the property that for each x ∈ C, $W^{σ} (x)$ ...

Exactly two-to-one maps from continua onto arc-continua

Wojciech Dębski, J. Heath, J. Mioduszewski (1996)

Fundamenta Mathematicae

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Continuing studies on 2-to-1 maps onto indecomposable continua having only arcs as proper non-degenerate subcontinua - called here arc-continua - we drop the hypothesis of tree-likeness, and we get some conditions on the arc-continuum image that force any 2-to-1 map to be a local homeomorphism. We show that any 2-to-1 map from a continuum onto a local Cantor bundle Y is either a local homeomorphism or a retraction if Y is orientable, and that it is a local homeomorphism if Y is not orientable. ...