Geodesic
A remark on the topological entropies of covers and partitions
Pierre-Paul Romagnoli1
1Departamento de Matemáticas Universidad Andrés Bello Sazie 2315 Santiago, Chile
Studia Mathematica, Tome 182 (2007) no. 3, pp. 273-281
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm182-3-6
Keywords: study combinatorial entropy finite cover computed using finite partitions finer cover relates unsolved question covers explicitly compute topological entropy fixed clopen cover showing smaller infimum topological entropy finer clopen partitions

Pierre-Paul Romagnoli  1

1 Departamento de Matemáticas Universidad Andrés Bello Sazie 2315 Santiago, Chile 
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Pierre-Paul Romagnoli. A remark on the topological entropies
 of covers and partitions. Studia Mathematica, Tome 182 (2007) no. 3, pp. 273-281. doi: 10.4064/sm182-3-6

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