منابع مشابه
On persistently positively expansive maps
In this paper, we prove that any C1-persistently positively expansive map is expanding. This improves a result due to Sakai (Sakai 2004).
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We introduce the notions of weakly and strongly positively expansive (wPE and sPE, respectively) discrete dynamical systems. Both are topological generalizations of the well-known metric notion of positive expansiveness (PE). We prove that the three notions are identical on compact metrizable spaces, but not on noncompact spaces. We investigate properties of PE, wPE, and sPE dynamical systems a...
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We give a new and elementary proof showing that a homeomorphism f : X → X of a compact metric space is positively expansive if and only if X is finite.
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1. The bordism groups. This note presents an outline of the authors' efforts to apply Thorn's cobordism theory [ó] to the study of differentiable periodic maps. First, however, we shall outline our scheme for computing the oriented bordism groups of a space [ l ] . These preliminary remarks bear on a problem raised by Milnor [4]. A finite manifold is the finite disjoint union of compact connect...
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After preparing this note, the paper [IT] was discovered which covers the more general situation of “expansive foliations”, and in codimension one their result includes Theorem1.2. We note that the proof given here is more self–contained and goes into more detail about the construction of the “ping-pong table” in the topological case, which the reader might still find of interest. Ralf Spatzier...
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ژورنال
عنوان ژورنال: Acta Mathematica Sinica, English Series
سال: 2010
ISSN: 1439-8516,1439-7617
DOI: 10.1007/s10114-010-9149-5