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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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...
متن کاملThe Classification of Topologically Expansive Lorenz Maps
We show that topologically expansive Lorenz maps can be described up to topological conjugacy by their kneading invariants. We also give a simple condition on pairs of symbol sequences which is satisfied if and only if that pair of sequences is the kneading invariant for some topologically expansive Lorenz map. A simple extension of the theorems to the case of expansive maps of the interval wit...
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We present a uniform version of a result of M. Gromov on the surjunctivity of maps commuting with expansive group actions and discuss several applications.
متن کاملOn expansive graphs
This article presents results on expansive graphs that Víctor Neumann-Lara obtained in the late 1970’s and reported mostly without proofs in [8] and [9]. The untimely death of Víctor left us to complete this project, which had started in [7]. We had at hand [8, 9] and the manuscript [10] that, using his old notebooks, Víctor wrote with one of us in 1995. The original material has been thoroughl...
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ژورنال
عنوان ژورنال: Opuscula Mathematica
سال: 2018
ISSN: 1232-9274
DOI: 10.7494/opmath.2018.38.3.379