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Mathematics of the USSR-Sbornik, 1982, Volume 43, Issue 2, Pages 199–234
DOI: https://doi.org/10.1070/SM1982v043n02ABEH002445 (Mi sm2383) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Classification of stable fibered knots

M. Sh. Farber
English version PDF (2455 kB) Citations (5)
References:
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DOI: https://doi.org/10.1070/SM1982v043n02ABEH002445
Abstract: In this paper a new invariant of fibered knots is studied, represented as a homotopy pairing in the sense of Spanier and Whitehead. With its help, first of all, a classification of stable fibered knots is given; second, it is shown that certain well-known invariants in knot theory define the type of a stable knot up to a finite number of possibilities; and third, a complete algebraic description of certain classes of knots is given.
Figures: 3.
Bibliography: 33 titles.
Received: 15.08.1980
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1981, Volume 115(157), Number 2(6), Pages 223–262
Bibliographic databases:
UDC: 513.836
MSC: Primary 57Q45; Secondary 55R55
Language: English
Original paper language: Russian
Citation: M. Sh. Farber, “Classification of stable fibered knots”, Mat. Sb. (N.S.), 115(157):2(6) (1981), 223–262; Math. USSR-Sb., 43:2 (1982), 199–234
Citation in format AMSBIB
\Bibitem{Far81}
\by M.~Sh.~Farber
\paper Classification of stable fibered knots
\jour Mat. Sb. (N.S.)
\yr 1981
\vol 115(157)
\issue 2(6)
\pages 223--262
\mathnet{http://mi.mathnet.ru/sm2383}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=622146}
\zmath{https://zbmath.org/?q=an:0494.57010|0483.57013}
\transl
\jour Math. USSR-Sb.
\yr 1982
\vol 43
\issue 2
\pages 199--234
\crossref{https://doi.org/10.1070/SM1982v043n02ABEH002445}
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  • https://www.mathnet.ru/eng/sm/v157/i2/p223
    • 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
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    Abstract page:263
    Russian version PDF:114
    English version PDF:9
    References:44
     
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