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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2006, Volume 252, Pages 261–276 (Mi tm76)  
Numerical Invariants of Cochain Complexes and the Morse Numbers of Manifolds

V. V. Sharko

Institute of Mathematics, Ukrainian National Academy of Sciences
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Abstract: Homotopy invariants of free cochain complexes are studied. These invariants are applied to the calculation of exact values of the Morse numbers for smooth manifolds of large dimension.
Received in January 2005
English version:
Proceedings of the Steklov Institute of Mathematics, 2006, Volume 252, Pages 248–263
DOI: https://doi.org/10.1134/S0081543806010214
Bibliographic databases:
UDC: 515.164.2
Language: Russian
Citation: V. V. Sharko, “Numerical Invariants of Cochain Complexes and the Morse Numbers of Manifolds”, Geometric topology, discrete geometry, and set theory, Collected papers, Trudy Mat. Inst. Steklova, 252, Nauka, MAIK «Nauka/Inteperiodika», M., 2006, 261–276; Proc. Steklov Inst. Math., 252 (2006), 248–263
Citation in format AMSBIB
\Bibitem{Sha06}
\by V.~V.~Sharko
\paper Numerical Invariants of Cochain Complexes and the Morse Numbers of Manifolds
\inbook Geometric topology, discrete geometry, and set theory
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2006
\vol 252
\pages 261--276
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm76}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2255983}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2006
\vol 252
\pages 248--263
\crossref{https://doi.org/10.1134/S0081543806010214}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746044481}
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