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On analytical applications of stable homotopy (the Arnold conjecture, critical points)

Yuli B. Rudyak

dg-gaarXiv:dg-ga/9708008

Abstract

We prove the Arnold conjecture for closed symplectic manifolds with π2(M)=0 and M= M. Furthermore, we prove an analog of the Lusternik-Schnirelmann theorem for functions with ``generalized hyperbolicity'' property.

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