Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2016, Number 2, Pages 44–48 (Mi vmumm136)  
This article is cited in 5 scientific papers (total in 5 papers)

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The topological entropy on a space of homeomorphisms does not belong to the first Baire class

A. N. Vetokhin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (301 kB) Citations (5)
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Abstract: The parametric family of Lipschitz homeomorphisms of a compact metric space continuously depending on the parameter is studied. We construct such a family that topological entropy of homeomorphism considered as a function of the parameter does not belong to the first Baire class.
Key words: topological entropy, Baire classification.
Received: 20.05.2015
English version:
Moscow University Mathematics Bulletin, 2016, Volume 71, Issue 2, Pages 75–78
DOI: https://doi.org/10.3103/S0027132216020066
Bibliographic databases:
Document Type: Article
UDC: 517.93
Language: Russian
Citation: A. N. Vetokhin, “The topological entropy on a space of homeomorphisms does not belong to the first Baire class”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 2, 44–48; Moscow University Mathematics Bulletin, 71:2 (2016), 75–78
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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