Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
Russian version:
Matematicheskii Sbornik, 2008, Volume 199, Number 11, Pages 113–140
DOI: https://doi.org/10.4213/sm3954
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”, Mat. Sb., 199:11 (2008), 113–140; Sb. Math., 199:11 (2008), 1687–1713
Citation in format AMSBIB
\Bibitem{Skl08}
\by E.~G.~Sklyarenko
\paper The homological degree and Hopf's absolute degree
\jour Mat. Sb.
\yr 2008
\vol 199
\issue 11
\pages 113--140
\mathnet{http://mi.mathnet.ru/sm3954}
\crossref{https://doi.org/10.4213/sm3954}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2485377}
\zmath{https://zbmath.org/?q=an:1162.55003}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2008SbMat.199.1687S}
\elib{https://elibrary.ru/item.asp?id=20425518}
\transl
\jour Sb. Math.
\yr 2008
\vol 199
\issue 11
\pages 1687--1713
\crossref{https://doi.org/10.1070/SM2008v199n11ABEH003977}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000264258100005}
\elib{https://elibrary.ru/item.asp?id=13570986}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-66149146317}
Linking options:
  • https://www.mathnet.ru/eng/sm3954
  • https://doi.org/10.1070/SM2008v199n11ABEH003977
  • https://www.mathnet.ru/eng/sm/v199/i11/p113
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:485
    Russian version PDF:223
    English version PDF:12
    References:45
    First page:5
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024