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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive
Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023 Number 3, Pages 35–40 (Mi vmumm4538)
Mathematics

Set of definitely attained values of the topological entropy of continuous mappings of the Cantor set

A. N. Vetokhinab

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Bauman Moscow State Technical University

Abstract: It is established that in any neighborhood of each continuous mapping of a Cantor perfect set there is a mapping with a given topological entropy.

Key words: topological entropy, symbolic dynamics.

UDC: 517.93

Received: 07.02.2020

DOI: 10.55959/MSU0579-9368-1-64-3-6


 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2023, 78:3, 144–149

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© Steklov Math. Inst. of RAS, 2025