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JOURNALS // Matematicheskii Sbornik // Archive
Mat. Sb. (N.S.), 1983 Volume 121(163), Number 3(7), Pages 359–369 (Mi sm2206)
This article is cited in 3 papers

Intersection of loops in two-dimensional manifolds. II. Free loops

V. G. Turaev, O. Ya. Viro


Abstract: In this paper the authors establish algebraic conditions necessary and sufficient for given free homotopy classes of loops in two-dimensional manifolds to be representable by simple nonintersecting loops.
Bibliography: 9 titles.

UDC: 513.83

MSC: Primary 57N05; Secondary 57M05

Received: 14.05.1982


 English version: Mathematics of the USSR-Sbornik, 1984, 49:2, 357–366

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