Categories and Sheaves

• Κύριοι συγγραφείς: Kashiwara, Masaki (Συγγραφέας), Schapira, Pierre (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Σειρά: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 332
• Θέματα: Mathematics.; Category theory (Mathematics).; Homological algebra.; Manifolds (Mathematics).; Complex manifolds.; Category Theory, Homological Algebra.; Manifolds and Cell Complexes (incl. Diff.Topology).

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,...

Πίνακας περιεχομένων:

• 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.