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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive
Trudy Mat. Inst. 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

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.

UDC: 515.164.2

Received in January 2005


 English version: Proceedings of the Steklov Institute of Mathematics, 2006, 252, 248–263

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© Steklov Math. Inst. of RAS, 2025