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Mathematics of the USSR-Izvestiya, 1983, Volume 21, Issue 2, Pages 341–354
DOI: https://doi.org/10.1070/IM1983v021n02ABEH001794 (Mi im1658) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Homeomorphisms of the line and a foliation

V. V. Solodov
English version PDF (819 kB) Citations (12) Russian version article
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DOI: https://doi.org/10.1070/IM1983v021n02ABEH001794
Abstract: This paper considers foliations of codimension one and class $C^i$, $i\geqslant0$. Under specified restrictions on the fundamental group of a Novikov component the study of such a foliation can be reduced to studying the representation of the fundamental group as homeomorphisms of the line. As a result theorems are obtained about the existence of a compact leaf. Applications are obtained to the real-analytic foliations and Anosov foliations.
Bibliography: 12 titles.
Received: 15.03.1982
Bibliographic databases:
UDC: 513.83
MSC: 57R30
Language: English
Original paper language: Russian
Citation: V. V. Solodov, “Homeomorphisms of the line and a foliation”, Math. USSR-Izv., 21:2 (1983), 341–354
Citation in format AMSBIB
\Bibitem{Sol82}
\by V.~V.~Solodov
\paper Homeomorphisms of the line and a~foliation
\jour Math. USSR-Izv.
\yr 1983
\vol 21
\issue 2
\pages 341--354
\mathnet{http://mi.mathnet.ru//eng/im1658}
\crossref{https://doi.org/10.1070/IM1983v021n02ABEH001794}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=675530}
\zmath{https://zbmath.org/?q=an:0548.57013|0521.57022}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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