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Mat. Sb. (N.S.), 1971, Volume 85(127), Number 2(6), Pages 256–271 (Mi msb3204)  

This article is cited in 2 scientific papers (total in 2 papers)

Smooth knots in a fibering over a circumference

S. G. Smirnov


Abstract: Let $M^n$ be a smooth manifold without boundary, $1\leqslant k\leqslant n$, and let the filtering $M^n = F^n\supset F^{n-1}\supset…\supset F^{n-k}=R^{n-k}$ be such that $F^i\subset F^{i+1}$ for each $i$ is an imbedding of a layer in a smooth fibering over $S^1$. In the paper we have obtained an explicit classification of the smooth knots of the sphere $S^m$ in such a manifold $M^n$ under the conditions $m>2$, $n-m>2$.
Bibliography: 10 titles.

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English version:
Mathematics of the USSR-Sbornik, 1971, 14:2, 252–266

Bibliographic databases:

UDC: 513.83
MSC: Primary 57C45; Secondary 57A35
Received: 03.06.1970

Citation: S. G. Smirnov, “Smooth knots in a fibering over a circumference”, Mat. Sb. (N.S.), 85(127):2(6) (1971), 256–271; Math. USSR-Sb., 14:2 (1971), 252–266

Citation in format AMSBIB
\Bibitem{Smi71}
\by S.~G.~Smirnov
\paper Smooth knots in a~fibering over a~circumference
\jour Mat. Sb. (N.S.)
\yr 1971
\vol 85(127)
\issue 2(6)
\pages 256--271
\mathnet{http://mi.mathnet.ru/msb3204}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=283814}
\zmath{https://zbmath.org/?q=an:0221.57007}
\transl
\jour Math. USSR-Sb.
\yr 1971
\vol 14
\issue 2
\pages 252--266
\crossref{https://doi.org/10.1070/SM1971v014n02ABEH002616}


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    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. S. G. Smirnov, “Gladkie uzly v mnogoobrazii gomotopicheskogo tipa $K(\pi,1)$”, UMN, 26:5(161) (1971), 225–226  mathnet  mathscinet  zmath
    2. S. G. Smirnov, “Smooth knots in a manifold of homotopy type $K(\pi,1)$”, Math. USSR-Izv., 9:3 (1975), 577–598  mathnet  crossref  mathscinet  zmath
  • Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics (from 1967)
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