Geodesic
A relative variant of the Morse theory
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2013), pp. 21-30.

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We develop a relative variant of the Morse theory for Lipschitz functionals defined on closed subsets of a Banach manifold. We prove the invariance of topological characteristics of functionals under uniform deformations.
Keywords: nonsmooth analysis, functional, space, manifold, critical value. 
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V. S. Klimov. A relative variant of the Morse theory. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2013), pp. 21-30. http://geodesic.mathdoc.fr/item/IVM_2013_1_a1/

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