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This article is cited in 5 scientific papers (total in 5 papers)
Local knotting of submanifolds
O. Ya. Viro
Abstract:
In this paper the author investigates the modification of the fundamental group of the complement of a submanifold of codimension 2 by knotting in a neighborhood of one of its points. With the aid of such knotting he constructs closed nonorientable surfaces in $\mathbf R^4$ with finite noncommutative groups. In the appendix he constructs a nontrivial knot such that, knotting by means of it does not change the type of the simplest imbedding $\mathbf RP^2\to\mathbf R^4$.
Figures: 6.
Bibliography: 10 titles.
Received: 07.02.1972
Citation:
O. Ya. Viro, “Local knotting of submanifolds”, Mat. Sb. (N.S.), 90(132):2 (1973), 173–183; Math. USSR-Sb., 19:2 (1973), 166–176
Linking options:
https://www.mathnet.ru/eng/sm3003https://doi.org/10.1070/SM1973v019n02ABEH001743 https://www.mathnet.ru/eng/sm/v132/i2/p173
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Abstract page: | 373 | Russian version PDF: | 114 | English version PDF: | 9 | References: | 40 | First page: | 2 |
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