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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Volume 278, Pages 96–101 (Mi tm3400)  
This article is cited in 3 scientific papers (total in 3 papers)

Classification of coverings of the circle

E. V. Zhuzhoma, N. V. Isaenkova

Nizhni Novgorod State Pedagogical University, Nizhni Novgorod, Russia
Full-text PDF (175 kB) Citations (3)
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Abstract: We obtain a classification of d-coverings of degree d≥2 of the circle S1 up to conjugation by orientation-preserving homeomorphisms. We show that being equipped with a scheme, the d-equivalence class of an invariant countable set (distinguished set) of the linear expanding endomorphism of degree d is a complete classification invariant.
Received in December 2011
English version:
Proceedings of the Steklov Institute of Mathematics, 2012, Volume 278, Pages 88–93
DOI: https://doi.org/10.1134/S0081543812060090
Bibliographic databases:
Document Type: Article
UDC: 517.938
Language: Russian
Citation: E. V. Zhuzhoma, N. V. Isaenkova, “Classification of coverings of the circle”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 278, MAIK Nauka/Interperiodica, Moscow, 2012, 96–101; Proc. Steklov Inst. Math., 278 (2012), 88–93
Citation in format AMSBIB
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\paper Classification of coverings of the circle
\inbook Differential equations and dynamical systems
\bookinfo Collected papers
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\vol 278
\pages 96--101
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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Linking options:
  • https://www.mathnet.ru/eng/tm3400
  • https://www.mathnet.ru/eng/tm/v278/p96
    • This publication is cited in the following 3 articles:
    1. N. V. Isaenkova, E. V. Zhuzhoma, “O sootvetstvii bazisnykh mnozhestv A-endomorfizmov i A-diffeomorfizmov”, Chelyab. fiz.-matem. zhurn., 3:3 (2018), 295–310  mathnet  crossref  elib
    2. N. V. Isaenkova, E. V. Zhuzhoma, “Sopryazhenie diffeomorfizmov Smeila-Vietorisa posredstvom sopryazheniya endomorfizmov”, Zhurnal SVMO, 19:1 (2017), 38–50  mathnet  crossref  elib
    3. N. V. Isaenkova, E. V. Zhuzhoma, “Nonwandering Set of Smale–Vietoris Diffeomorphisms”, J Math Sci, 208:1 (2015), 139  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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