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

We prove the Arnold conjecture for closed symplectic manifolds with $\pi_2(M)=0$ and \cat M=\dim M. Furthermore, we prove an analog of the Lusternik-Schnirelmann theorem for functions with ``generalized hyperbolicity'' property.Comment: AMSTEX, 12 pages, submitted to Math. Zeitschrift, improvement (correction) of the line of the proof of the Arnold conjectur