Coverart for item
The Resource Categories and sheaves, Masaki Kashiwara, Pierre Schapira, (electronic book)

Categories and sheaves, Masaki Kashiwara, Pierre Schapira, (electronic book)

Label
Categories and sheaves
Title
Categories and sheaves
Statement of responsibility
Masaki Kashiwara, Pierre Schapira
Creator
Contributor
Subject
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
Member of
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
Label
Categories and sheaves, Masaki Kashiwara, Pierre Schapira, (electronic book)
Instantiates
Publication
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
SPR262692091
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 physical details
illustrations.
Specific material designation
remote
Label
Categories and sheaves, Masaki Kashiwara, Pierre Schapira, (electronic book)
Publication
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
SPR262692091
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 physical details
illustrations.
Specific material designation
remote

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