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Izvestiya: Mathematics, 1995, Volume 59, Issue 2, Pages 321–332
DOI: https://doi.org/10.1070/IM1995v059n02ABEH000013 (Mi im13) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Extremal problems of geometry, surgery on manifolds, and problems of group theory

I. K. Babenko

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (599 kB) Citations (5)
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DOI: https://doi.org/10.1070/IM1995v059n02ABEH000013
Abstract: The behaviour is studied of asymptotic volumes of smooth manifolds under surgery. It is demonstrated that the asymptotic volume depends on the class of singular bordisms of the Eilenberg–MacLane space for the corresponding group. The relationship between asymptotic volumes and solutions of some extremal problems in Eilenberg–MacLane spaces is considered.
Received: 28.12.1993
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1995, Volume 59, Issue 2, Pages 97–108
Bibliographic databases:
MSC: 53C20
Language: English
Original paper language: Russian
Citation: I. K. Babenko, “Extremal problems of geometry, surgery on manifolds, and problems of group theory”, Izv. RAN. Ser. Mat., 59:2 (1995), 97–108; Izv. Math., 59:2 (1995), 321–332
Citation in format AMSBIB
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\by I.~K.~Babenko
\paper Extremal problems of geometry, surgery on manifolds, and problems of group theory
\jour Izv. RAN. Ser. Mat.
\yr 1995
\vol 59
\issue 2
\pages 97--108
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1337160}
\zmath{https://zbmath.org/?q=an:0896.53032}
\transl
\jour Izv. Math.
\yr 1995
\vol 59
\issue 2
\pages 321--332
\crossref{https://doi.org/10.1070/IM1995v059n02ABEH000013}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RZ88800004}
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  • https://doi.org/10.1070/IM1995v059n02ABEH000013
  • https://www.mathnet.ru/eng/im/v59/i2/p97
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:372
    Russian version PDF:87
    English version PDF:7
    References:51
    First page:3
     
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