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Mathematics of the USSR-Izvestiya, 1988, Volume 31, Issue 2, Pages 423–434
DOI: https://doi.org/10.1070/IM1988v031n02ABEH001083 (Mi im1333) 		 
This article is cited in 34 scientific papers (total in 35 papers)

Transformations of special spines and the Zeeman conjecture

S. V. Matveev
English version PDF (749 kB) Citations (35) Russian version article
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DOI: https://doi.org/10.1070/IM1988v031n02ABEH001083
Abstract: Two transformations, called elementary, are defined for special spines, and it is shown that any one special spine of aЁ3-manifold can be obtained from any other by a sequence of elementary transformations and their inverses. Applications are made to the Zeeman conjecture on 1-collapsibility of 2-dimensional contractible polyhedra.
Figures: 7.
Bibliography: 6 titles.
Received: 17.10.1985
Bibliographic databases:
UDC: 515.1
MSC: Primary 57Q10; Secondary 57Q35
Language: English
Original paper language: Russian
Citation: S. V. Matveev, “Transformations of special spines and the Zeeman conjecture”, Math. USSR-Izv., 31:2 (1988), 423–434
Citation in format AMSBIB
\Bibitem{Mat87}
\by S.~V.~Matveev
\paper Transformations of special spines and the Zeeman conjecture
\jour Math. USSR-Izv.
\yr 1988
\vol 31
\issue 2
\pages 423--434
\mathnet{http://mi.mathnet.ru//eng/im1333}
\crossref{https://doi.org/10.1070/IM1988v031n02ABEH001083}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=925096}
\zmath{https://zbmath.org/?q=an:0676.57002|0642.57003}
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  • https://www.mathnet.ru/eng/im/v51/i5/p1104
    • This publication is cited in the following 35 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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