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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 $d\geq2$ of the circle $S^1$ 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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\by E.~V.~Zhuzhoma, N.~V.~Isaenkova
\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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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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