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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
References:
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
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1987, Volume 51, Issue 5, Pages 1104–1116
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”, Izv. Akad. Nauk SSSR Ser. Mat., 51:5 (1987), 1104–1116; 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 Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1987
\vol 51
\issue 5
\pages 1104--1116
\mathnet{http://mi.mathnet.ru/im1333}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=925096}
\zmath{https://zbmath.org/?q=an:0676.57002|0642.57003}
\transl
\jour Math. USSR-Izv.
\yr 1988
\vol 31
\issue 2
\pages 423--434
\crossref{https://doi.org/10.1070/IM1988v031n02ABEH001083}
Linking options:
  • https://www.mathnet.ru/eng/im1333
  • https://doi.org/10.1070/IM1988v031n02ABEH001083
  • 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
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:592
    Russian version PDF:157
    English version PDF:18
    References:53
    First page:1
     
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