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 Izv. Akad. Nauk SSSR Ser. Mat., 1984, Volume 48, Issue 3, Pages 599–613 (Mi izv1458)

Homeomorphisms of the circle and a foliation

V. V. Solodov

Abstract: This paper studies Novikov components of smooth codimension-1 foliations on compact manifolds with fundamental groups which have nontrivial center. Special cases of such manifolds are discussed – Seifert fibrations and closed complements of toral knots. The basic results are given as theorems about the existence of compact leaves.
Bibliography: 16 titles.

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English version:
Mathematics of the USSR-Izvestiya, 1985, 24:3, 553–566

Bibliographic databases:

UDC: 515.168.3
MSC: 57R30

Citation: V. V. Solodov, “Homeomorphisms of the circle and a foliation”, Izv. Akad. Nauk SSSR Ser. Mat., 48:3 (1984), 599–613; Math. USSR-Izv., 24:3 (1985), 553–566

Citation in format AMSBIB
\Bibitem{Sol84} \by V.~V.~Solodov \paper Homeomorphisms of the circle and a~foliation \jour Izv. Akad. Nauk SSSR Ser. Mat. \yr 1984 \vol 48 \issue 3 \pages 599--613 \mathnet{http://mi.mathnet.ru/izv1458} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=747253} \zmath{https://zbmath.org/?q=an:0565.57015|0549.57012} \transl \jour Math. USSR-Izv. \yr 1985 \vol 24 \issue 3 \pages 553--566 \crossref{https://doi.org/10.1070/IM1985v024n03ABEH001251} 

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Citing articles on Google Scholar: Russian citations, English citations
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This publication is cited in the following articles:
1. V. V. Solodov, “Topological topics in dynamical systems theory”, Russian Math. Surveys, 46:4 (1991), 107–134
2. 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
3. V. K. Mamaev, “Codimension one foliations of flat 3-manifolds”, Sb. Math., 187:6 (1996), 823–833
4. L. A. Beklaryan, “On the classification of groups of orientation-preserving homeomorphisms of $\mathbb R$. III. $\omega$-projectively invariant measures”, Sb. Math., 190:4 (1999), 521–538
5. 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
6. 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
7. L. A. Beklaryan, “Groups of homeomorphisms of the line. Criteria for the existence of invariant and projectively invariant measures in terms of the commutator subgroup”, Sb. Math., 205:12 (2014), 1741–1760
8. L. A. Beklaryan, “Groups of line and circle homeomorphisms. Metric invariants and questions of classification”, Russian Math. Surveys, 70:2 (2015), 203–248
9. L. A. Beklaryan, “Groups of line and circle diffeomorphisms. Criteria for almost nilpotency and structure theorems”, Sb. Math., 207:8 (2016), 1079–1099
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