Geodesic
Infinite-dimensional version of the Poincare–Hopf theorem and homological characteristics of functionals
Sbornik. Mathematics, Tome 192 (2001) no. 1, pp. 49-64 Cet article a éte moissonné depuis la source Math-Net.Ru

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A version of the Poincare–Hopf theorem is established for multivalued vector fields on submanifolds of a reflexive space. The connection between the critical values and homological characteristics of the Lebesgue sets of Lipschitz functionals is studied. Applications to the theory of operator inclusions with parameters are indicated. 
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}
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V. S. Klimov. Infinite-dimensional version of the Poincare–Hopf theorem and homological characteristics of functionals. Sbornik. Mathematics, Tome 192 (2001) no. 1, pp. 49-64. http://geodesic.mathdoc.fr/item/SM_2001_192_1_a2/

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