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Categories and Sheaves
Paperback
Series: Grundlehren Der Mathematischen Wissenschaften, Book 332
AlgebraGeneral MathematicsGeometry
ISBN13: 9783642066207
Publisher: Springer
Published: Feb 12 2010
Pages: 498
Weight: 1.55
Height: 1.02 Width: 6.14 Depth: 9.21
Language: English
Categories and sheaves appear almost frequently in contemporary advanced mathematics. This book covers categories, homological algebra and sheaves in a systematic and exhaustive 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. 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.
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