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Mathematics of the USSR-Sbornik, 1973, Volume 19, Issue 2, Pages 166–176
DOI: https://doi.org/10.1070/SM1973v019n02ABEH001743
(Mi sm3003)
 

This article is cited in 5 scientific papers (total in 5 papers)

Local knotting of submanifolds

O. Ya. Viro
References:
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
Bibliographic databases:
UDC: 513.838
MSC: Primary 55A25, 55A05; Secondary 55A10
Language: English
Original paper language: Russian
Citation: O. Ya. Viro, “Local knotting of submanifolds”, Math. USSR-Sb., 19:2 (1973), 166–176
Citation in format AMSBIB
\Bibitem{Vir73}
\by O.~Ya.~Viro
\paper Local knotting of submanifolds
\jour Math. USSR-Sb.
\yr 1973
\vol 19
\issue 2
\pages 166--176
\mathnet{http://mi.mathnet.ru/eng/sm3003}
\crossref{https://doi.org/10.1070/SM1973v019n02ABEH001743}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=370606}
\zmath{https://zbmath.org/?q=an:0249.57015}
Linking options:
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  • https://doi.org/10.1070/SM1973v019n02ABEH001743
  • https://www.mathnet.ru/eng/sm/v132/i2/p173
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:433
    Russian version PDF:122
    English version PDF:31
    References:60
    First page:2
     
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