Exponential Decay of Lebesgue Numbers

Details Exponential Decay of Lebesgue Numbers Exponential Decay of Lebesgue Numbers

2010-02-02

arxiv.org/abs/1002.0549v2

Mathematics

Dynamical Systems

12 pages, revised

Scientific paper

We study the exponential rate of decay of Lebesgue numbers of open covers in
topological dynamical systems. We show that topological entropy is bounded by
this rate multiplied by dimension. Some corollaries and examples are discussed.

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