Categories and sheaves
Categories 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. This book covers categories, homological algebra and sheaves in a systematic and exhaustive manner starting from scratch,...
Bewaard in:
| Hoofdauteurs: | , |
|---|---|
| Formaat: | Livre numérique |
| Taal: | Anglais |
| Gepubliceerd in: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Editie: | 1st ed. 2006. |
| Reeks: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
332 |
| Onderwerpen: | |
| Online toegang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Opmerking: |
Description d'après consultation du 14 mars 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Categories and sheaves, Masaki Kashiwara, Pierre Schapira, 2006, Berlin, Springer, 1 volume (X-497 pages), Grundlehren der mathematischen Wissenschaften, 978-3-540-27949-5 • Categories and Sheaves, Texte imprimé, 9783540813415 • Categories and sheaves, Masaki Kashiwara, Pierre Schapira, 2006, Berlin, Springer, 1 volume (X-497 pages), Grundlehren der mathematischen Wissenschaften, 978-3-540-27949-5 • Categories and sheaves, Masaki Kashiwara, Pierre Schapira, 2006, Berlin, Springer, 1 volume (X-497 pages), Grundlehren der mathematischen Wissenschaften, 978-3-540-27949-5 |
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| 009 | PPN123126002 | ||
| 020 | |a 9783540279501 | ||
| 041 | 0 | |a eng | |
| 082 | |a 512.62 | ||
| 084 | |a 18Axx. 2000 | ||
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| 100 | 1 | |a Kashiwara, Masaki, |d 1947-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Categories and sheaves |c Masaki Kashiwara, Pierre Schapira. |
| 250 | |a 1st ed. 2006. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |v 332 |x 2196-9701 | |
| 500 | |a Description d'après consultation du 14 mars 2011 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. [483]-486. Index | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Categories 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. This 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. The 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 | ||
| 650 | |a Catégories (mathématiques) | ||
| 650 | |a Théorie des faisceaux | ||
| 700 | 1 | |a Schapira, Pierre, |d 1943-...., |c mathématicien. |4 aut | |
| 776 | 0 | |0 093403003 |t Categories and sheaves |f Masaki Kashiwara, Pierre Schapira |d 2006 |c Berlin |n Springer |p 1 volume (X-497 pages) |s Grundlehren der mathematischen Wissenschaften |z 978-3-540-27949-5 | |
| 776 | 0 | |t Categories and Sheaves |b Texte imprimé |z 9783540813415 | |
| 776 | 0 | |0 093403003 |t Categories and sheaves |f Masaki Kashiwara, Pierre Schapira |d 2006 |c Berlin |n Springer |p 1 volume (X-497 pages) |s Grundlehren der mathematischen Wissenschaften |z 978-3-540-27949-5 | |
| 776 | 0 | |0 093403003 |t Categories and sheaves |f Masaki Kashiwara, Pierre Schapira |d 2006 |c Berlin |n Springer |p 1 volume (X-497 pages) |s Grundlehren der mathematischen Wissenschaften |z 978-3-540-27949-5 | |
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