Sheaves on Manifolds: With a Short History. «Les débuts de la théorie des faisceaux». By Christian HouzelSpringer Science & Business Media, 1 mai 2002 - 512 pages From the reviews: This book is devoted to the study of sheaves by microlocal methods..(it) may serve as a reference source as well as a textbook on this new subject. Houzel's historical overview of the development of sheaf theory will identify important landmarks for students and will be a pleasure to read for specialists. Math. Reviews 92a (1992). The book is clearly and precisely written, and contains many interesting ideas: it describes a whole, largely new branch of mathematics.(...)The book can be strongly recommended to a younger mathematician enthusiastic to assimilate a new range of techniques allowing flexible application to a wide variety of problems. Bull. L.M.S. (1992) |
Table des matières
6 | 109 |
Exercises to Chapter II | 131 |
Exercises to Chapter III | 178 |
Exercises to Chapter IV | 214 |
Exercises to Chapter V | 245 |
Exercises to Chapter VI | 279 |
Exercises to Chapter VII | 318 |
Exercises to Chapter VIII | 356 |
Exercises to Chapter IX | 406 |
Exercises to Chapter X | 438 |
Exercises to Chapter XI | 471 |
Inertia index | 486 |
List of notations and conventions | 502 |
| 511 | |
Autres éditions - Tout afficher
Sheaves on Manifolds: With a Short History. «Les débuts de la théorie des ... Masaki Kashiwara,Pierre Schapira Aucun aperçu disponible - 2010 |
Expressions et termes fréquents
A-module abelian category Applying Proposition Assume F belongs c-soft closed conic closed submanifold closed subset cohomology commutative diagram complex manifold cone constructible contact transformation coordinates Corollary defined Definition denote dimension distinguished triangle embedding equivalence of categories exact sequence Exercise exists F₁ F₂ faisceau finite follows from Proposition full subcategory function functor G₁ Hence holomorphic hypersurface induction injective involutive K₁ K₂ Lemma Let F locally closed locally compact spaces locally constant micro-support microfunctions microlocal Moreover morphism of manifolds natural morphism non-characteristic Ob(D obtain open neighborhood open subset p₁ projection Proof quasi-isomorphic R-constructible real analytic resp S₂ satisfies sheaves SS(F SS(G subanalytic subset subset of T*X supp(G surjective symplectic symplectic vector space t-structure Theorem transversal triangulated category vector bundle vector space x₁ xx T*X µhom(G