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Sbornik: Mathematics, 2008, Volume 199, Issue 11, Pages 1687–1713
DOI: https://doi.org/10.1070/SM2008v199n11ABEH003977 (Mi sm3954) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The homological degree and Hopf's absolute degree

E. G. Sklyarenko

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (395 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/SM2008v199n11ABEH003977
Abstract: A cohomological degree theory is constructed for continuous maps of topological manifolds, including manifolds with boundaries, with emphasis on the non-orientable case. Some applications are given, among which the most substantial is an extremely simple definition of Hopf's absolute degree (which coincides with the geometric degree).
Bibliography: 29 titles.
Received: 08.10.2007
Bibliographic databases:
UDC: 515.163
MSC: Primary 55M25; Secondary 55M20, 55N30, 55U20, 55U30, 57N65
Language: English
Original paper language: Russian
Citation: E. G. Sklyarenko, “The homological degree and Hopf's absolute degree”, Sb. Math., 199:11 (2008), 1687–1713
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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