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math.DG2003★ 1 cited
C^0-topology in Morse theory
A. Pajitnov
Let be a Morse function on a closed manifold , and be a Riemannian gradient of satisfying the transversality condition. The classical construction (due to Morse, Sma…
math.DG2001
Counting closed orbits of gradients of circle-valued maps
A. Pajitnov
Let be a closed connected manifold, be a Morse map from to a circle, be a gradient-like vector field satisfying the transversality condition. The Novikov constructi…
math.DG1998
On the asymptotics of Morse numbers of finite covers of manifolds
A. Pajitnov
Let M be a closed connected manifold. Let m(M) be the Morse number of M, that is, the minimal number of critical points of a Morse function on M. Let N be a finite cover of M of de…