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Modelirovanie i Analiz Informatsionnykh Sistem, 2007, Volume 14, Number 4, Pages 31–35 (Mi mais155)  

This article is cited in 1 scientific paper (total in 1 paper)

Genus and the Lyusternik-Schnirelmann category of preimages

R. N. Karasev

Moscow Institute of Physics and Technology
Full-text PDF (248 kB) Citations (1)
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Abstract: In this paper some axiomatic generalization (function of open subsets) of the relative Lyusternik-Schnirelmann category is considered. For this function and a given map of the underlying space to a finite polyhedron some lower bounds on the value of this function on the preimage of some point are given.
Received: 22.09.2007
Bibliographic databases:
UDC: 515.1
Language: Russian
Citation: R. N. Karasev, “Genus and the Lyusternik-Schnirelmann category of preimages”, Model. Anal. Inform. Sist., 14:4 (2007), 31–35
Citation in format AMSBIB
\Bibitem{Kar07}
\by R.~N.~Karasev
\paper Genus and the Lyusternik-Schnirelmann category of preimages
\jour Model. Anal. Inform. Sist.
\yr 2007
\vol 14
\issue 4
\pages 31--35
\mathnet{http://mi.mathnet.ru/mais155}
\elib{https://elibrary.ru/item.asp?id=13094572}
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  • https://www.mathnet.ru/eng/mais155
  • https://www.mathnet.ru/eng/mais/v14/i4/p31
  • 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
    Моделирование и анализ информационных систем
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    Abstract page:262
    Full-text PDF :130
    References:46
     
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