Atsiliepimai

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Aprašymas

This book presents 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.  The authors treat general theory of categories and functors with  emphasis on inductive and projective limits, tensor categories,   representable functors, ind-objects and localization.    Also the following aspects of  homological  alge are studied: 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 are treated in the framework of Grothendieck topologies.