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A remark on the topological entropies of covers and partitions
Abstract
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. © Instytut Matematyczny PAN, 2007.
Más información
| Título según WOS: | A remark on the topological entropies of covers and partitions |
| Título según SCOPUS: | A remark on the topological entropies of covers and partitions |
| Título de la Revista: | STUDIA MATHEMATICA |
| Volumen: | 182 |
| Número: | 3 |
| Editorial: | POLISH ACAD SCIENCES INST MATHEMATICS-IMPAN |
| Fecha de publicación: | 2007 |
| Página de inicio: | 273 |
| Página final: | 281 |
| Idioma: | English |
| URL: | http://journals.impan.pl/cgi-bin/doi?sm182-3-6 |
| DOI: |
10.4064/sm182-3-6 |
| Notas: | ISI, SCOPUS |