Exponential Decay of Lebesgue Numbers
Dynamical Systems
2010-11-23 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1002.0549,
title = {Exponential Decay of Lebesgue Numbers},
author = {Peng Sun},
journal= {arXiv preprint arXiv:1002.0549},
year = {2010}
}
Comments
12 pages, revised