The Resource Categories and Sheaves, by Masaki Kashiwara, Pierre Schapira, (electronic resource)

Categories and Sheaves, by Masaki Kashiwara, Pierre Schapira, (electronic resource)

Label
Categories and Sheaves
Title
Categories and Sheaves
Statement of responsibility
by Masaki Kashiwara, Pierre Schapira
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • 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
Is Subseries of
http://library.link/vocab/creatorName
Kashiwara, Masaki
Dewey number
514.224
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • b7rfM6o_j-4
  • o_OUxJud1cs
Language note
English
LC call number
QA169
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Schapira, Pierre.
Series statement
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,
Series volume
332
http://library.link/vocab/subjectName
  • Algebra
  • Cell aggregation
  • Category Theory, Homological Algebra
  • Manifolds and Cell Complexes (incl. Diff.Topology)
Label
Categories and Sheaves, by Masaki Kashiwara, Pierre Schapira, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
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
Dimensions
unknown
Edition
1st ed. 2006.
Extent
1 online resource (495 p.)
Form of item
online
Isbn
9783540279501
Media category
computer
Media type code
c
Other control number
10.1007/3-540-27950-4
Specific material designation
remote
System control number
  • (CKB)1000000000232424
  • (EBL)3062290
  • (SSID)ssj0000316578
  • (PQKBManifestationID)11241393
  • (PQKBTitleCode)TC0000316578
  • (PQKBWorkID)10275668
  • (PQKB)10305398
  • (SSID)ssj0000768611
  • (PQKBManifestationID)12306542
  • (PQKBTitleCode)TC0000768611
  • (PQKBWorkID)10768590
  • (PQKB)11771981
  • (DE-He213)978-3-540-27950-1
  • (MiAaPQ)EBC3062290
  • (EXLCZ)991000000000232424
Label
Categories and Sheaves, by Masaki Kashiwara, Pierre Schapira, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
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
Dimensions
unknown
Edition
1st ed. 2006.
Extent
1 online resource (495 p.)
Form of item
online
Isbn
9783540279501
Media category
computer
Media type code
c
Other control number
10.1007/3-540-27950-4
Specific material designation
remote
System control number
  • (CKB)1000000000232424
  • (EBL)3062290
  • (SSID)ssj0000316578
  • (PQKBManifestationID)11241393
  • (PQKBTitleCode)TC0000316578
  • (PQKBWorkID)10275668
  • (PQKB)10305398
  • (SSID)ssj0000768611
  • (PQKBManifestationID)12306542
  • (PQKBTitleCode)TC0000768611
  • (PQKBWorkID)10768590
  • (PQKB)11771981
  • (DE-He213)978-3-540-27950-1
  • (MiAaPQ)EBC3062290
  • (EXLCZ)991000000000232424

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