RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Forthcoming papers Archive Impact factor Subscription Guidelines for authors License agreement Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Izv. RAN. Ser. Mat.: Year: Volume: Issue: Page: Find

 Izv. Akad. Nauk SSSR Ser. Mat., 1982, Volume 46, Issue 5, Pages 1047–1061 (Mi izv1658)

Homeomorphisms of the line and a foliation

V. V. Solodov

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.

Full text: PDF file (1720 kB)
References: PDF file   HTML file

English version:
Mathematics of the USSR-Izvestiya, 1983, 21:2, 341–354

Bibliographic databases:

UDC: 513.83
MSC: 57R30

Citation: V. V. Solodov, “Homeomorphisms of the line and a foliation”, Izv. Akad. Nauk SSSR Ser. Mat., 46:5 (1982), 1047–1061; 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 Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1982
\vol 46
\issue 5
\pages 1047--1061
\mathnet{http://mi.mathnet.ru/izv1658}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=675530}
\zmath{https://zbmath.org/?q=an:0548.57013|0521.57022}
\transl
\jour Math. USSR-Izv.
\yr 1983
\vol 21
\issue 2
\pages 341--354
\crossref{https://doi.org/10.1070/IM1983v021n02ABEH001794}

• http://mi.mathnet.ru/eng/izv1658
• http://mi.mathnet.ru/eng/izv/v46/i5/p1047

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. V. V. Solodov, “Homeomorphisms of the circle and a foliation”, Math. USSR-Izv., 24:3 (1985), 553–566
2. V. V. Solodov, “Topological topics in dynamical systems theory”, Russian Math. Surveys, 46:4 (1991), 107–134
3. L. A. Beklaryan, “On the classification of groups of orientation-preserving homeomorphisms of $\mathbb R$. I. Invariant measures”, Sb. Math., 187:3 (1996), 335–364
4. L. A. Beklaryan, “On the classification of groups of orientation-preserving homeomorphisms of $\mathbb R$. II. Projectively-invariant measures”, Sb. Math., 187:4 (1996), 469–494
5. V. K. Mamaev, “Codimension one foliations of flat 3-manifolds”, Sb. Math., 187:6 (1996), 823–833
6. L. A. Beklaryan, “On Analogs of the Tits Alternative for Groups of Homeomorphisms of the Circle and of the Line”, Math. Notes, 71:3 (2002), 305–315
7. L. A. Beklaryan, “Groups of homeomorphisms of the line and the circle. Topological characteristics and metric invariants”, Russian Math. Surveys, 59:4 (2004), 599–660
8. L. A. Beklaryan, “Groups of line and circle homeomorphisms. Metric invariants and questions of classification”, Russian Math. Surveys, 70:2 (2015), 203–248
•  Number of views: This page: 178 Full text: 56 References: 34 First page: 1