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Structures de Fredholm sur les Variétés Hilbertiennes

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Author(s): Nicole Moulis (auth.)
Series: Lecture Notes in Mathematics 259
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1972

Language: French
Pages: 123
City: Berlin, New York
Tags: Mathematics, general

Definition et proprietes fondamentales des structures de Fredholm et etalees sur un fibre vectoriel....Pages 1-18
Contractibilite du groupe lineaire d'un espace de Hilbert....Pages 19-27
Definition et proprietes fondamentales des structures de Fredholm et des structures etaiees sur une variete Hilbertienne....Pages 28-40
Diffeomorphismes etales fondamentaux....Pages 41-52
Existence de voisinages tubulaires....Pages 53-60
Theoreme d'isotopie ambiante etalee des voisinages tubulaires....Pages 61-72
Plongement de varietes etalees (Existence, isotopie)....Pages 73-92
Theoreme de stabilite....Pages 93-113
Theoreme de Mazur et classification des structures de Fredholm sur une variete Hilbertienne....Pages 114-120