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Mathematics of the USSR-Izvestiya, 1977, Volume 11, Issue 4, Pages 749–781
DOI: https://doi.org/10.1070/IM1977v011n04ABEH001744 (Mi im1868) 		 
This article is cited in 10 scientific papers (total in 11 papers)

Duality in an infinite cyclic covering and even-dimensional knots

M. Sh. Farber
English version PDF (1493 kB) Citations (11) Russian version article
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DOI: https://doi.org/10.1070/IM1977v011n04ABEH001744
Abstract: Pairings are constructed defined on the torsion subgroups of the integral homology groups of the infinite cyclic covering of a compact manifold with values in the factor group of the rationals modulo the integers. This gives invariants of even-dimensional knots, with the help of which three problems of R. H. Fox about two-dimensional knots in four-dimensional space are solved.
Bibliography: 25 titles.
Received: 03.10.1975
Bibliographic databases:
UDC: 513.83
MSC: 57C45
Language: English
Original paper language: Russian
Citation: M. Sh. Farber, “Duality in an infinite cyclic covering and even-dimensional knots”, Math. USSR-Izv., 11:4 (1977), 749–781
Citation in format AMSBIB
\Bibitem{Far77}
\by M.~Sh.~Farber
\paper Duality in an infinite cyclic covering and even-dimensional knots
\jour Math. USSR-Izv.
\yr 1977
\vol 11
\issue 4
\pages 749--781
\mathnet{http://mi.mathnet.ru//eng/im1868}
\crossref{https://doi.org/10.1070/IM1977v011n04ABEH001744}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=515677}
\zmath{https://zbmath.org/?q=an:0366.55003}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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