Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2023, Number 3, Pages 35–40
DOI: https://doi.org/10.55959/MSU0579-9368-1-64-3-6 (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
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DOI: https://doi.org/10.55959/MSU0579-9368-1-64-3-6
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.
Received: 07.02.2020
English version:
Moscow University Mathematics Bulletin, 2023, Volume 78, Issue 3, Pages 144–149
DOI: https://doi.org/10.3103/S0027132223030087
Bibliographic databases:
Document Type: Article
UDC: 517.93
Language: Russian
Citation: A. N. Vetokhin, “Set of definitely attained values of the topological entropy of continuous mappings of the Cantor set”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 3, 35–40; Moscow University Mathematics Bulletin, 78:3 (2023), 144–149
Citation in format AMSBIB
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\paper Set of definitely attained values of the topological entropy of continuous mappings of the Cantor set
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
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\issue 3
\pages 35--40
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\crossref{https://doi.org/10.55959/MSU0579-9368-1-64-3-6}
\zmath{https://zbmath.org/?q=an:7741295}
\elib{https://elibrary.ru/item.asp?id=53868404}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2023
\vol 78
\issue 3
\pages 144--149
\crossref{https://doi.org/10.3103/S0027132223030087}
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