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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2004, Volume 247, Pages 237–246 (Mi tm21)  
This article is cited in 1 scientific paper (total in 1 paper)

Dual Homology for the de Rham Cohomology

E. G. Sklyarenko

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: A divergence operator $\operatorname {div}$ acting on the graded space $\Omega _*(M)$ of smooth multivector fields on a smooth manifold $M$ is defined. This operator turns $\Omega _*(M)$ into a chain complex defining the usual homology of $M$.
Received in March 2004
Bibliographic databases:
UDC: 515.164
Language: Russian
Citation: E. G. Sklyarenko, “Dual Homology for the de Rham Cohomology”, Geometric topology and set theory, Collected papers. Dedicated to the 100th birthday of professor Lyudmila Vsevolodovna Keldysh, Trudy Mat. Inst. Steklova, 247, Nauka, MAIK «Nauka/Inteperiodika», M., 2004, 237–246; Proc. Steklov Inst. Math., 247 (2004), 217–226
Citation in format AMSBIB
\Bibitem{Skl04}
\by E.~G.~Sklyarenko
\paper Dual Homology for the de Rham Cohomology
\inbook Geometric topology and set theory
\bookinfo Collected papers. Dedicated to the 100th birthday of professor Lyudmila Vsevolodovna Keldysh
\serial Trudy Mat. Inst. Steklova
\yr 2004
\vol 247
\pages 237--246
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm21}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2168174}
\zmath{https://zbmath.org/?q=an:1109.58002}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2004
\vol 247
\pages 217--226
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