Stable algebra in Morse theory

V. V. Sharko


Abstract: Stable algebra is developed as needed in Morse theory. New estimates are found for the number of critical points of Morse functions, and conditions are found for the existence of minimal Morse functions on non-simply-connected manifolds.

UDC: 512.662.5+515.164.174

MSC: Primary 57R70; Secondary 18G10, 58E05

Received: 19.07.1988

 English version: Mathematics of the USSR-Izvestiya, 1991, 36:3, 629–653

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