A remark on the topological entropies of covers and partitions

Pierre-Paul Romagnoli. "A remark on the topological entropies of covers and partitions." Studia Mathematica 182.3 (2007): 273-281. <http://eudml.org/doc/285114>.

@article{Pierre2007,
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.},
author = {Pierre-Paul Romagnoli},
journal = {Studia Mathematica},
keywords = {topological entropy, symbolic dynamics, local variational principle, total domination},
language = {eng},
number = {3},
pages = {273-281},
title = {A remark on the topological entropies of covers and partitions},
url = {http://eudml.org/doc/285114},
volume = {182},
year = {2007},
}

TY - JOUR
AU - Pierre-Paul Romagnoli
TI - A remark on the topological entropies of covers and partitions
JO - Studia Mathematica
PY - 2007
VL - 182
IS - 3
SP - 273
EP - 281
AB - 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.
LA - eng
KW - topological entropy, symbolic dynamics, local variational principle, total domination
UR - http://eudml.org/doc/285114
ER -