2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78914Let $S$ 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.5 pages, amstexDifferential Geometrytext