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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 $M^n = F^n\supset F^{n-1}\supset\dots\supset F^{n-k}=R^{n-k}$ 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.
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
Linking options:
https://www.mathnet.ru/eng/sm3204https://doi.org/10.1070/SM1971v014n02ABEH002616 https://www.mathnet.ru/eng/sm/v127/i2/p256
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Abstract page: | 227 | Russian version PDF: | 75 | English version PDF: | 5 | References: | 34 |
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