Geodesic
On the Homotopical Stability of Isolated Critical Points of Continuous Functions
Journal of convex analysis, Tome 27 (2020) no. 1, pp. 277-284
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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.
Classification : 58E05
Mots-clés : Metric Morse theory, continuous functions, critical groups 
@article{JCA_2020_27_1_JCA_2020_27_1_a15,
     author = {J.-N. Corvellec},
     title = {On the {Homotopical} {Stability} of {Isolated} {Critical} {Points} of {Continuous} {Functions}},
     journal = {Journal of convex analysis},
     pages = {277--284},
     year = {2020},
     volume = {27},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2020_27_1_JCA_2020_27_1_a15/}
}
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J.-N. Corvellec. On the Homotopical Stability of Isolated Critical Points of Continuous Functions. Journal of convex analysis, Tome 27 (2020) no. 1, pp. 277-284. http://geodesic.mathdoc.fr/item/JCA_2020_27_1_JCA_2020_27_1_a15/