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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025 Number 4, Pages 69–72 (Mi vmumm4707)

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Topological entropy of some set of homeomorphisms of the Cantor set

A. N. Vetokhin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: We consider a parametric family of dynamical systems generated by homeomorphisms that continuously depend on a parameter from some metric space. For any such family, the topological entropy of the dynamical systems included in it is studied as a function of the parameter from the standpoint of the Baire classification of functions.

Key words: dynamical system, topological entropy, Baire classification of functions.

UDC: 517.93

Received: 26.10.2024

DOI: 10.55959/MSU0579-9368-1-66-4-11


 English version:
Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2025, 80:4, 266–269


© Steklov Math. Inst. of RAS, 2026