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This article is cited in 34 scientific papers (total in 35 papers)
Transformations of special spines and the Zeeman conjecture
S. V. Matveev
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
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
Linking options:
https://www.mathnet.ru/eng/im1333https://doi.org/10.1070/IM1988v031n02ABEH001083 https://www.mathnet.ru/eng/im/v51/i5/p1104
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Abstract page: | 592 | Russian version PDF: | 157 | English version PDF: | 18 | References: | 53 | First page: | 1 |
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