The Resource Categories and sheaves, Masaki Kashiwara, Pierre Schapira
Categories and sheaves, Masaki Kashiwara, Pierre Schapira
Resource Information
The item Categories and sheaves, Masaki Kashiwara, Pierre Schapira represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Categories and sheaves, Masaki Kashiwara, Pierre Schapira represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- Summary
- 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
- Language
- eng
- Extent
- 1 online resource (x, 497 pages)
- Contents
-
- The language of categories
- Limits
- Filtrant Limits
- Tensor categories
- Generators and Representability
- Indization of categories
- Localization
- Additive and Abelian categories
- pi-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
- References
- Notations
- Isbn
- 9783540279495
- Label
- Categories and sheaves
- Title
- Categories and sheaves
- Statement of responsibility
- Masaki Kashiwara, Pierre Schapira
- Language
- eng
- Summary
- 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
- Cataloging source
- GW5XE
- http://library.link/vocab/creatorDate
- 1947-
- http://library.link/vocab/creatorName
- Kashiwara, Masaki
- Dewey number
- 514.224
- Illustrations
- illustrations
- Index
- index present
- LC call number
- QA169
- LC item number
- .K37 2006eb
- Literary form
- non fiction
- Nature of contents
-
- dictionaries
- bibliography
- http://library.link/vocab/relatedWorkOrContributorDate
- 1943-
- http://library.link/vocab/relatedWorkOrContributorName
- Schapira, Pierre
- Series statement
- Grundlehren der mathematischen Wissenschaften,
- Series volume
- 332
- http://library.link/vocab/subjectName
-
- Categories (Mathematics)
- Sheaf theory
- Catégories (Mathématiques)
- Faisceaux, Théorie des
- Categories (Mathematics)
- Sheaf theory
- Théorie des catégories
- Théorie des faisceaux
- Label
- Categories and sheaves, Masaki Kashiwara, Pierre Schapira
- Bibliography note
- Includes bibliographical references (pages 483-486)-and indexes
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Color
- multicolored
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- The language of categories -- Limits -- Filtrant Limits -- Tensor categories -- Generators and Representability -- Indization of categories -- Localization -- Additive and Abelian categories -- pi-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 -- References -- Notations
- Control code
- 262692091
- Dimensions
- unknown
- Extent
- 1 online resource (x, 497 pages)
- Form of item
- online
- Isbn
- 9783540279495
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/3-540-27950-4.
- Other physical details
- illustrations.
- http://library.link/vocab/ext/overdrive/overdriveId
- 978-3-540-27949-5
- Specific material designation
- remote
- System control number
- (OCoLC)262692091
- Label
- Categories and sheaves, Masaki Kashiwara, Pierre Schapira
- Bibliography note
- Includes bibliographical references (pages 483-486)-and indexes
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Color
- multicolored
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- The language of categories -- Limits -- Filtrant Limits -- Tensor categories -- Generators and Representability -- Indization of categories -- Localization -- Additive and Abelian categories -- pi-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 -- References -- Notations
- Control code
- 262692091
- Dimensions
- unknown
- Extent
- 1 online resource (x, 497 pages)
- Form of item
- online
- Isbn
- 9783540279495
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/3-540-27950-4.
- Other physical details
- illustrations.
- http://library.link/vocab/ext/overdrive/overdriveId
- 978-3-540-27949-5
- Specific material designation
- remote
- System control number
- (OCoLC)262692091
Subject
- Categories (Mathematics)
- Categories (Mathematics)
- Catégories (Mathématiques)
- Faisceaux, Théorie des
- Sheaf theory
- Sheaf theory
- Sheaf theory
- Théorie des catégories
- Théorie des faisceaux
- Categories (Mathematics)
Member of
- Grundlehren der mathematischen Wissenschaften, 332
- Grundlehren der mathematischen Wissenschaften, 332.
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Categories-and-sheaves-Masaki-Kashiwara-Pierre/P58WGk7u920/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Categories-and-sheaves-Masaki-Kashiwara-Pierre/P58WGk7u920/">Categories and sheaves, Masaki Kashiwara, Pierre Schapira</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
