منابع مشابه
Spectral Decomposition for Topologically Anosov Homeomorphisms on Noncompact and Non-metrizable Spaces
We introduce topological definitions of expansivity, shadowing, and chain recurrence for homeomorphisms. They generalize the usual definitions for metric spaces. We prove various theorems about topologically Anosov homeomorphisms (maps that are expansive and have the shadowing property) on noncompact and non-metrizable spaces that generalize theorems for such homeomorphisms on compact metric sp...
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Suppose S is a surface of genus ≥ 2, f : S → S is a surface homeomorphism isotopic to a pseudo-Anosov map α and suppose S̃ is the universal cover of S and F and A are lifts of f and α respectively. A result of A. Fathi shows there is a semiconjugacy Θ : S̃ → L̄ × L̄ from F to Ā, where L̄ (L̄) is the completion of the R-tree of leaves of the stable (resp. unstable) foliation for A and Ā is the map ind...
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We show that if f : M →M is a pseudo-Anosov homeomorphism on an orientable surface with oriented unstable manifolds and a quadratic expanding factor, then there is a hyperbolic toral automorphism on T2 and a map h : M → T2 such that h is a semi-conjugacy and (M, h) is a branched covering space of T2. We also give another characterization of pseudo-Anosov homeomorphisms with quadratic expansion ...
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This paper is concerned with homeomorphisms of Euclidean spaces onto themselves, with bounded orbits. The following results are obtained. (1) A homeomorphism of E onto itself has both bounded orbits and an equicontinuous family of iterates iff it is a conjugate of either a rotation or a reflection; (2) An example of Bing is modified to produce a fixed point free, orientation preserving homeomor...
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ژورنال
عنوان ژورنال: Topological Methods in Nonlinear Analysis
سال: 2019
ISSN: 1230-3429
DOI: 10.12775/tmna.2019.050