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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2016 Volume 99, Issue 3, Pages 333–341 (Mi mzm10413)

This article is cited 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

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.

UDC: 517.93

Received: 28.10.2013
Revised: 06.02.2015

DOI: 10.4213/mzm10413


 English version:
Mathematical Notes, 2016, 99:3, 354–361

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© Steklov Math. Inst. of RAS, 2025