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Matematicheskie Zametki, 2016, Volume 99, Issue 3, Pages 333–341
DOI: https://doi.org/10.4213/mzm10413 (Mi mzm10413) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the Properties of Topological Entropy on a Compact Family of Maps

A. N. Vetokhin

Russian State University of Tourism and Service, Cherkizovo, Pushkino district, Moscow region
Full-text PDF (423 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm10413
Abstract: The properties of topological entropy as a function on a compact family of maps of a compact metric space are studied.
Keywords: topological entropy, family of maps, compact metric space, Baire class one function, Baire class two function, lower semicontinuous function, Baire typical point, Ascoli–Arzelà theorem, Hölder condition.
Received: 28.10.2013
Revised: 06.02.2015
English version:
Mathematical Notes, 2016, Volume 99, Issue 3, Pages 354–361
DOI: https://doi.org/10.1134/S0001434616030020
Bibliographic databases:
Document Type: Article
UDC: 517.93
Language: Russian
Citation: A. N. Vetokhin, “On the Properties of Topological Entropy on a Compact Family of Maps”, Mat. Zametki, 99:3 (2016), 333–341; Math. Notes, 99:3 (2016), 354–361
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm10413
  • https://doi.org/10.4213/mzm10413
  • https://www.mathnet.ru/eng/mzm/v99/i3/p333
    • This publication is cited in the following 2 articles:
    1. A. N. Vetokhin, “On properties of topological pressure”, Funct. Anal. Appl., 51:4 (2017), 263–269  mathnet  crossref  crossref  isi  elib
    2. A. N. Vetokhin, “Typical property of the topological entropy of continuous mappings of compact sets”, Differ. Equ., 53:4 (2017), 439–444  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    Full-text PDF :167
    References:129
    First page:58
     
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