A remark on the topological entropies of covers and partitions

作者：Romagnoli Pierre Paul^*

来源：Studia Mathematica, 2007, 182(3): 273-281.

DOI：10.4064/sm182-3-6

• topological entropy
• symbolic dynamics
• local variational principle
• total domination

We study if the combinatorial entropy of a finite cover can be computed using finite partitions finer than the cover. This relates to an unsolved question in [R] for open covers. We explicitly compute the topological entropy of a fixed clopen cover showing that it is smaller than the infimum of the topological entropy of all finer clopen partitions.

• 出版日期2007