Categories and Sheaves - Schapira, Pierre;Kashiwara, Masaki
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  • Broschiertes Buch

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.…mehr

Produktbeschreibung
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.

  • Produktdetails
  • Grundlehren der mathematischen Wissenschaften 332
  • Verlag: Springer / Springer, Berlin
  • Artikelnr. des Verlages: 978-3-642-06620-7
  • Softcover reprint of hardcover 1st ed. 2006
  • Seitenzahl: 508
  • Erscheinungstermin: 12. Februar 2010
  • Englisch
  • Abmessung: 235mm x 155mm x 27mm
  • Gewicht: 761g
  • ISBN-13: 9783642066207
  • ISBN-10: 3642066208
  • Artikelnr.: 32071995
Autorenporträt
Masaki Kashiwara Professor at the Rims, Kyoto University
Plenary speaker ICM 1978
Invited speaker ICM 1990
http://www.kurims.kyoto-u.ac.jp/~kenkyubu/kashiwara/

Pierre Schapira, Professor at University Pierre et Marie Curie (Paris VI)
Invited speaker ICM 1990
http://www.math.jussieu.fr/~schapira/

Inhaltsangabe
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.
Rezensionen
From the reviews:

"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)