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, 2016, Volume 207, Issue 6, Pages 854–872
DOI: https://doi.org/10.1070/SM8570 (Mi sm8570) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Regular homotopy for immersions of graphs into surfaces

D. A. Permyakov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (528 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM8570
Abstract: We study invariants of regular immersions of graphs into surfaces up to regular homotopy. The concept of the winding number is used to introduce a new simple combinatorial invariant of regular homotopy.
Bibliography: 20 titles.
Keywords: winding number, immersion, graph, surface.
Funding agency Grant number
Russian Science Foundation 14-21-00162
This research was supported by the Russian Science Foundation grant no. 14-21-00162.
Received: 10.07.2015
Russian version:
Matematicheskii Sbornik, 2016, Volume 207, Number 6, Pages 93–112
DOI: https://doi.org/10.4213/sm8570
Bibliographic databases:
Document Type: Article
UDC: 515.162.6
MSC: 57M15
Language: English
Original paper language: Russian
Citation: D. A. Permyakov, “Regular homotopy for immersions of graphs into surfaces”, Mat. Sb., 207:6 (2016), 93–112; Sb. Math., 207:6 (2016), 854–872
Citation in format AMSBIB
\Bibitem{Per16}
\by D.~A.~Permyakov
\paper Regular homotopy for immersions of graphs into surfaces
\jour Mat. Sb.
\yr 2016
\vol 207
\issue 6
\pages 93--112
\mathnet{http://mi.mathnet.ru/sm8570}
\crossref{https://doi.org/10.4213/sm8570}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3507505}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2016SbMat.207..854P}
\elib{https://elibrary.ru/item.asp?id=26414403}
\transl
\jour Sb. Math.
\yr 2016
\vol 207
\issue 6
\pages 854--872
\crossref{https://doi.org/10.1070/SM8570}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000382317600005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84987700844}
Linking options:
  • https://www.mathnet.ru/eng/sm8570
  • https://doi.org/10.1070/SM8570
  • https://www.mathnet.ru/eng/sm/v207/i6/p93
    • This publication is cited in the following 2 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:346
    Russian version PDF:65
    English version PDF:9
    References:64
    First page:23
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024