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, 2014, Volume 205, Issue 10, Pages 1387–1412
DOI: https://doi.org/10.1070/SM2014v205n10ABEH004423 (Mi sm8328) 		 
This article is cited in 15 scientific papers (total in 15 papers)

A three-colour graph as a complete topological invariant for gradient-like diffeomorphisms of surfaces

V. Z. Grinesa, S. H. Kapkaevab, O. V. Pochinkaa

a N. I. Lobachevski State University of Nizhni Novgorod
b Ogarev Mordovia State University, Saransk
English version PDF (779 kB) Citations (15)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM2014v205n10ABEH004423
Abstract: In a paper of Oshemkov and Sharko, three-colour graphs were used to make the topological equivalence of Morse-Smale flows on surfaces obtained by Peixoto more precise. In the present paper, in the language of three-colour graphs equipped with automorphisms, we obtain a complete (including realization) topological classification of gradient-like cascades on surfaces.
Bibliography: 25 titles.
Keywords: Morse-Smale diffeomorphism, gradient-like diffeomorphism, three-colour graph, topological classification.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00672
13-01-12452-офи-м
Received: 15.01.2014
Russian version:
Matematicheskii Sbornik, 2014, Volume 205, Number 10, Pages 19–46
DOI: https://doi.org/10.4213/sm8328
Bibliographic databases:
Document Type: Article
UDC: 517.938
MSC: Primary 37D15; Secondary 37C05, 37C15, 37E30
Language: English
Original paper language: Russian
Citation: V. Z. Grines, S. H. Kapkaeva, O. V. Pochinka, “A three-colour graph as a complete topological invariant for gradient-like diffeomorphisms of surfaces”, Mat. Sb., 205:10 (2014), 19–46; Sb. Math., 205:10 (2014), 1387–1412
Citation in format AMSBIB
\Bibitem{GriKapPoc14}
\by V.~Z.~Grines, S.~H.~Kapkaeva, O.~V.~Pochinka
\paper A three-colour graph as a~complete topological invariant for gradient-like diffeomorphisms of surfaces
\jour Mat. Sb.
\yr 2014
\vol 205
\issue 10
\pages 19--46
\mathnet{http://mi.mathnet.ru/sm8328}
\crossref{https://doi.org/10.4213/sm8328}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3289226}
\zmath{https://zbmath.org/?q=an:06406528}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2014SbMat.205.1387G}
\elib{https://elibrary.ru/item.asp?id=22834486}
\transl
\jour Sb. Math.
\yr 2014
\vol 205
\issue 10
\pages 1387--1412
\crossref{https://doi.org/10.1070/SM2014v205n10ABEH004423}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000346573300002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84919628895}
Linking options:
  • https://www.mathnet.ru/eng/sm8328
  • https://doi.org/10.1070/SM2014v205n10ABEH004423
  • https://www.mathnet.ru/eng/sm/v205/i10/p19
    • This publication is cited in the following 15 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:560
    Russian version PDF:191
    English version PDF:19
    References:55
    First page:37
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024