Masaki Kashiwara,
Pierre Schapira
Springer Berlin Heidelberg
2006e druk, 2005
9783540279495
Categories and Sheaves
Specificaties
Gebonden, 498 blz.
|
Engels
Springer Berlin Heidelberg |
2006e druk, 2005
ISBN13: 9783540279495
Rubricering
Onderdeel van serie
Grundlehren der mathematischen Wissenschaften
Levertijd ongeveer 8 werkdagen
Samenvatting
Categories and sheaves appear almost frequently in contemporary advanced mathematics. This book covers categories, homological algebra and sheaves in a systematic manner starting from scratch and continuing with full proofs to the most recent results in the literature, and sometimes beyond. The authors present the general theory of categories and functors, emphasizing inductive and projective limits, tensor categories, representable functors, ind-objects and localization.
Specificaties
ISBN13:9783540279495
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:498
Uitgever:Springer Berlin Heidelberg
Druk:2006
Inhoudsopgave
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.