Categories and Sheaves
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.
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.
| Autor: | Kashiwara, Masaki Schapira, Pierre |
|---|---|
| ISBN: | 9783540279495 |
| Sprache: | Englisch |
| Produktart: | Gebunden |
| Verlag: | Springer Nature EN |
| Veröffentlicht: | 20.10.2005 |
| Schlagworte: | Algebra Analytic geometry Analytic topology B Category Theory, Homological Algebra Category theory (Mathematics) Complex manifolds Homological algebra Manifolds (Mathematics) Manifolds and Cell Complexes Manifolds and Cell Complexes (incl. Diff.Topology) Mathematics and Statistics |
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