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Mathematics of the USSR-Sbornik, 1972, Volume 16, Issue 2, Pages 223–236
DOI: https://doi.org/10.1070/SM1972v016n02ABEH001422 (Mi sm3045) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Linkings, two-sheeted branched coverings and braids

O. Ya. Viro
English version PDF (827 kB) Citations (14) Russian version article
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DOI: https://doi.org/10.1070/SM1972v016n02ABEH001422
Abstract: We prove that every closed connected orientable three-dimensional $pl$-manifold of genus not greater than 2 is $pl$-homeomorphic to a two-sheeted branched covering of the sphere $S^3$. An analogous result is established for fibrations over $S^1$. An example is constructed of nonhomeomorphic linkings with homeomorphic two-sheeted branched coverings.
Figures: 8.
Bibliography: 11 titles.
Received: 24.11.1970 and 11.03.1971
Bibliographic databases:
UDC: 513.836
MSC: 55A25, 55A10
Language: English
Original paper language: Russian
Citation: O. Ya. Viro, “Linkings, two-sheeted branched coverings and braids”, Math. USSR-Sb., 16:2 (1972), 223–236
Citation in format AMSBIB
\Bibitem{Vir72}
\by O.~Ya.~Viro
\paper Linkings, two-sheeted branched coverings and braids
\jour Math. USSR-Sb.
\yr 1972
\vol 16
\issue 2
\pages 223--236
\mathnet{http://mi.mathnet.ru//eng/sm3045}
\crossref{https://doi.org/10.1070/SM1972v016n02ABEH001422}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=298649}
\zmath{https://zbmath.org/?q=an:0232.55001|0248.55002}
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  • https://www.mathnet.ru/eng/sm/v129/i2/p216
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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