Journal of Convex Analysis 27 (2020), No. 1, 277--284
Copyright Heldermann Verlag 2020
On the Homotopical Stability of Isolated Critical Points of Continuous Functions
LAMPS, Université de Perpignan, 66860 Perpignan, France
In the framework of the metric critical point theory, we prove a stability property of the critical groups, for a family of continuous functions which, in a common neighborhood of their respective unique critical point, satisfies a uniform Palais-Smale type condition and is continuous in the uniform topology.
Keywords: Metric Morse theory, continuous functions, critical groups.
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