{"product_id":"9783642066207","title":"Categories and Sheaves (Grundlehren Der Mathematischen Wissenschaften)","description":"\u003cp\u003eCategories 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.\u003c\/p\u003e\u003cp\u003eThis book covers categories, homological algebra and sheaves in a systematic and exhaustive manner starting from scratch, and continues with full proofs to an exposition of the most recent results in the literature, and sometimes beyond.\u003c\/p\u003e\u003cp\u003eThe authors present the general theory of categories and functors, emphasising inductive and projective limits, tensor categories, representable functors, ind-objects and localization. Then they study homological algebra including additive, abelian, triangulated categories and also unbounded derived categories using transfinite induction and accessible objects. Finally, sheaf theory as well as twisted sheaves and stacks appear in the framework of Grothendieck topologies.\u003c\/p\u003e 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. \u003cp\u003eMasaki Kashiwara Professor at the Rims, Kyoto University\nPlenary speaker ICM 1978\nInvited speaker ICM 1990\nhttp:\/\/www.kurims.kyoto-u.ac.jp\/~kenkyubu\/kashiwara\/\u003c\/p\u003e\u003cp\u003ePierre Schapira, Professor at University Pierre et Marie Curie (Paris VI)\nInvited speaker ICM 1990\nhttp:\/\/www.math.jussieu.fr\/~schapira\/\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e \u003cp\u003eFrom the reviews:\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e\"This book of Kashiwara and Schapira, recognized specialists in algebraic analysis, is a detailed full-scale exposition of categories, homological algebra and sheaves. These notions are presented from scratch up to the most recent (sometimes new) results ... .\" (Corrado Marastoni, Mathematical Reviews, Issue 2006 k)\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Default Title","offer_id":45501969334351,"sku":"00000_00000_00000_00000","price":3465.0,"currency_code":"TWD","in_stock":false}],"url":"https:\/\/kinokuniya.com.tw\/products\/9783642066207","provider":"Books Kinokuniya Taiwan","version":"1.0","type":"link"}