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Model. Anal. Inform. Sist., 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

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.

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UDC: 515.1
Received: 22.09.2007

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{http://elibrary.ru/item.asp?id=13094572}


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    This publication is cited in the following articles:
    1. Karasev R.N., “A topological central point theorem”, Topology Appl., 159:3 (2012), 864–868  crossref  mathscinet  zmath  isi  elib  scopus
  • Моделирование и анализ информационных систем
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