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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 1, Pages 21–30
(Mi ivm8764)
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A relative variant of the Morse theory
V. S. Klimov Chair of Mathematical Analysis, Yaroslavl State University, Yaroslavl, Russia
Abstract:
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.
Received: 13.12.2011
Citation:
V. S. Klimov, “A relative variant of the Morse theory”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 1, 21–30; Russian Math. (Iz. VUZ), 57:1 (2013), 17–25
Linking options:
https://www.mathnet.ru/eng/ivm8764 https://www.mathnet.ru/eng/ivm/y2013/i1/p21
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