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Matematicheskie Zametki, 1970, Volume 8, Issue 1, Pages 77–83 (Mi mzm9583)  
This article is cited in 4 scientific papers (total in 4 papers)

Exact functions on manifolds

O. I. Bogoyavlenskii

M. V. Lomonosov Moscow State University
Full-text PDF (642 kB) Citations (4)
Abstract: It is proved that the property of a manifold $M^n$ possessing a smooth function with given numbers of critical points of each index is homotopic invariant if $Wh(\pi_1(M^n))=0$ and every $Z(\pi_1(M^n))$-stable free module is free.
Received: 22.05.1969
English version:
Mathematical Notes, 1970, Volume 8, Issue 1, Pages 514–517
DOI: https://doi.org/10.1007/BF01093444
Bibliographic databases:
Document Type: Article
UDC: 513.83
Language: Russian
Citation: O. I. Bogoyavlenskii, “Exact functions on manifolds”, Mat. Zametki, 8:1 (1970), 77–83; Math. Notes, 8:1 (1970), 514–517
Citation in format AMSBIB
\Bibitem{Bog70}
\by O.~I.~Bogoyavlenskii
\paper Exact functions on manifolds
\jour Mat. Zametki
\yr 1970
\vol 8
\issue 1
\pages 77--83
\mathnet{http://mi.mathnet.ru/mzm9583}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=273635}
\zmath{https://zbmath.org/?q=an:0218.57023}
\transl
\jour Math. Notes
\yr 1970
\vol 8
\issue 1
\pages 514--517
\crossref{https://doi.org/10.1007/BF01093444}
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  • https://www.mathnet.ru/eng/mzm/v8/i1/p77
    • 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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