Categories and Sheaves

Categories and sheaves, which emerged in the middle of the last century as an enrichment for the concepts of sets and functions, appear almost everywhere in mathematics nowadays. This book covers categories, homological algebra and sheaves in a systematic and exhaustive manner starting from scratch,...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Kashiwara, Masaki (Autor), Schapira, Pierre (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Colección:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 332
Temas:
Algebra, Homological.
Manifolds (Mathematics).
Category Theory, Homological Algebra.
Manifolds and Cell Complexes.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • The Language of Categories
  • Limits
  • Filtrant Limits
  • Tensor Categories
  • Generators and Representability
  • Indization of Categories
  • Localization
  • Additive and Abelian Categories
  • ?-accessible Objects and F-injective Objects
  • Triangulated Categories
  • Complexes in Additive Categories
  • Complexes in Abelian Categories
  • Derived Categories
  • Unbounded Derived Categories
  • Indization and Derivation of Abelian Categories
  • Grothendieck Topologies
  • Sheaves on Grothendieck Topologies
  • Abelian Sheaves
  • Stacks and Twisted Sheaves.

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