A remark on fixed point sets of gradient-like flows

Details A remark on fixed point sets of gradient-like flows A remark on fixed point sets of gradient-like flows

1999-08-04

arxiv.org/abs/math/9908017v1

Mathematics

Differential Geometry

5 pages, amstex

Scientific paper

Let $S$ be a set of critical points of a smooth real-valued function on a
closed manifold $M$. Generalizing a well-known result of
Lusternik--Schnirelmann, Reeken~[R] proved that $\cat S \geq \cat M$. Here we
prove a generalization of Reeken"s inequality for gradient-like flows on
compact spaces.

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