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Categories and Sheaves (Grundlehren der mathematischen Wissenschaften
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N.º de artículo de eBay:397248345480
Última actualización el 15 nov 2025 19:31:33 H.EspVer todas las actualizacionesVer todas las actualizaciones
Características del artículo
- Estado
- subject_code
- PBF
- target_audience
- General/trade
- is_adult_product
- false
- edition_number
- 1
- binding
- paperback
- edition
- Softcover reprint of hardcover 1st ed. 2006
- series_number
- 332
- MPN
- N/A
- batteries_required
- false
- manufacturer
- Springer
- volume
- 332
- Brand
- Springer
- series_title
- Grundlehren der mathematischen Wissenschaften
- number_of_items
- 1
- pages
- 508
- ghs
- [object Object]
- genre
- Algebra
- publication_date
- 2010-02-12T00:00:01Z
- unspsc_code
- 55101500
- batteries_included
- false
- ISBN
- 9783642066207
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Product Identifiers
Publisher
Springer Berlin / Heidelberg
ISBN-10
3642066208
ISBN-13
9783642066207
eBay Product ID (ePID)
109008452
Product Key Features
Number of Pages
X, 498 Pages
Publication Name
Categories and Sheaves
Language
English
Publication Year
2010
Subject
Group Theory, Algebra / Abstract, Algebra / General, Topology
Type
Textbook
Subject Area
Mathematics
Series
Grundlehren Der Mathematischen Wissenschaften Ser.
Format
Trade Paperback
Dimensions
Item Weight
27.2 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
Dewey Edition
22
Reviews
From the reviews: "This book of Kashiwara and Schapira, recognized specialists in algebraic analysis, is a detailed full-scale exposition of categories, homological algebra and sheaves. These notions are presented from scratch up to the most recent (sometimes new) results ... ." (Corrado Marastoni, Mathematical Reviews, Issue 2006 k), From the reviews:"This book of Kashiwara and Schapira, recognized specialists in algebraic analysis, is a detailed full-scale exposition of categories, homological algebra and sheaves. These notions are presented from scratch up to the most recent (sometimes new) results … ." (Corrado Marastoni, Mathematical Reviews, Issue 2006 k)
Series Volume Number
332
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
514.224
Table Of Content
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.
Synopsis
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, 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.
LC Classification Number
QA169
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