A remark on the topological entropies of covers and partitions

• Autorzy: Pierre-Paul Romagnoli
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37B40: Topological entropy
• 37B10: Symbolic dynamics
• 37A35: Entropy and other invariants, isomorphism, classification

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 182
• Numer: 3
• Strony: 273-281

Daty

wydano

2007

Twórcy

autor

Pierre-Paul Romagnoli

• Departamento de Matemáticas, Universidad Andrés Bello, Sazie 2315, Santiago, Chile

Identyfikatory

DOI

10.4064/sm182-3-6