Abstract

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.

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Keywords

  • Metric Morse theory
  • continuous functions
  • critical groups

Mathematics Subject Classification

58E05

References

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Suggested citation

J.-N. Corvellec. “On the Homotopical Stability of Isolated Critical Points of Continuous Functions.” Journal of Convex Analysis 27 (2020), No. 1, 277–284. https://doi.org/10.68381/jca27015

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Published by Heldermann Verlag, 2020. Rights now held by Banach Press LLC.