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Matematicheskie Zametki, 2004, Volume 75, Issue 1, Pages 13–19
DOI: https://doi.org/10.4213/mzm2
(Mi mzm2)
 

This article is cited in 4 scientific papers (total in 4 papers)

Minimal Number of Preimages Under Maps of Surfaces

S. A. Bogatyia, D. L. Gonçalvesb, E. A. Kudryavtsevaa, H. Zieschangc

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Universidade de São Paulo, Instituto de Matemática e Estatística
c Ruhr-Universität Bochum
Full-text PDF (220 kB) Citations (4)
References:
Abstract: We compute the minimal number of roots of the equation $f(x)=c$ for a map $f(x)$ belonging to a given homotopy class of maps between closed (not necessarily oriented) surfaces.
Received: 15.02.2001
Revised: 07.04.2003
English version:
Mathematical Notes, 2004, Volume 75, Issue 1, Pages 13–18
DOI: https://doi.org/10.1023/B:MATN.0000015017.47636.4b
Bibliographic databases:
UDC: 515.162.2
Language: Russian
Citation: S. A. Bogatyi, D. L. Gonçalves, E. A. Kudryavtseva, H. Zieschang, “Minimal Number of Preimages Under Maps of Surfaces”, Mat. Zametki, 75:1 (2004), 13–19; Math. Notes, 75:1 (2004), 13–18
Citation in format AMSBIB
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\by S.~A.~Bogatyi, D.~L.~Gon{\c c}alves, E.~A.~Kudryavtseva, H.~Zieschang
\paper Minimal Number of Preimages Under Maps of Surfaces
\jour Mat. Zametki
\yr 2004
\vol 75
\issue 1
\pages 13--19
\mathnet{http://mi.mathnet.ru/mzm2}
\crossref{https://doi.org/10.4213/mzm2}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2053145}
\zmath{https://zbmath.org/?q=an:1112.55001}
\transl
\jour Math. Notes
\yr 2004
\vol 75
\issue 1
\pages 13--18
\crossref{https://doi.org/10.1023/B:MATN.0000015017.47636.4b}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000220006100002}
Linking options:
  • https://www.mathnet.ru/eng/mzm2
  • https://doi.org/10.4213/mzm2
  • https://www.mathnet.ru/eng/mzm/v75/i1/p13
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    Abstract page:485
    Full-text PDF :215
    References:78
    First page:1
     
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