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. 
@article{IVM_2013_1_a1,
     author = {V. S. Klimov},
     title = {A relative variant of the {Morse} theory},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {21--30},
     publisher = {mathdoc},
     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_1_a1/}
}
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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/