skip to content
Categories and sheaves Preview this item
ClosePreview this item
Checking...

Categories and sheaves

Author: Masaki Kashiwara; Pierre Schapira
Publisher: Berlin ; New York : Springer, ©2006.
Series: Grundlehren der mathematischen Wissenschaften, 332.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
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.  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Kashiwara, Masaki, 1947-
Categories and sheaves.
Berlin ; New York : Springer, c2006
(DLC) 2005930329
(OCoLC)61703264
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Masaki Kashiwara; Pierre Schapira
ISBN: 9783540279501 3540279504 3540279490 9783540279495
OCLC Number: 262692091
Description: 1 online resource (x, 497 p.) : ill.
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
Series Title: Grundlehren der mathematischen Wissenschaften, 332.
Responsibility: Masaki Kashiwara, Pierre Schapira.
More information:

Abstract:

Categories and sheaves appear almost frequently in contemporary advanced mathematics. This book covers categories, homological algebra and sheaves in a systematic manner. It presents the general  Read more...

Reviews

Editorial reviews

Publisher Synopsis

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 Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/262692091> # Categories and sheaves
    a schema:CreativeWork, schema:MediaObject, schema:Book ;
    library:oclcnum "262692091" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/gw> ;
    library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/46244346#Place/berlin> ; # Berlin
    schema:about <http://experiment.worldcat.org/entity/work/data/46244346#Topic/theorie_des_categories> ; # Théorie des catégories
    schema:about <http://experiment.worldcat.org/entity/work/data/46244346#Topic/faisceaux_theorie_des> ; # Faisceaux, Théorie des
    schema:about <http://id.worldcat.org/fast/1115421> ; # Sheaf theory
    schema:about <http://id.worldcat.org/fast/849000> ; # Categories (Mathematics)
    schema:about <http://experiment.worldcat.org/entity/work/data/46244346#Topic/theorie_des_faisceaux> ; # Théorie des faisceaux
    schema:about <http://dewey.info/class/514.224/e22/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/46244346#Topic/categories_mathematiques> ; # Catégories (Mathématiques)
    schema:bookFormat schema:EBook ;
    schema:contributor <http://viaf.org/viaf/92250510> ; # Pierre Schapira
    schema:copyrightYear "2006" ;
    schema:creator <http://viaf.org/viaf/108194486> ; # Masaki Kashiwara
    schema:datePublished "2006" ;
    schema:description "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"@en ;
    schema:description "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"@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/46244346> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://worldcat.org/issn/0072-7830> ; # Grundlehren der mathematischen Wissenschaften ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/61703264> ;
    schema:name "Categories and sheaves"@en ;
    schema:numberOfPages "497" ;
    schema:productID "262692091" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/262692091#PublicationEvent/berlin_new_york_springer_c2006> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/46244346#Agent/springer> ; # Springer
    schema:url <http://catdir.loc.gov/catdir/enhancements/fy0823/2005930329-t.html> ;
    schema:url <http://lib.myilibrary.com?id=133002> ;
    schema:url <http://site.ebrary.com/id/10228756> ;
    schema:url <http://www.springerlink.com/openurl.asp?genre=book&isbn=978-3-540-27949-5> ;
    schema:url <http://rave.ohiolink.edu/ebooks/ebc/3540279504> ;
    schema:url <http://www.myilibrary.com?id=133002> ;
    schema:url <http://dx.doi.org/10.1007/3-540-27950-4> ;
    schema:workExample <http://worldcat.org/isbn/9783540279495> ;
    schema:workExample <http://worldcat.org/isbn/9783540279501> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/262692091> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
    schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/46244346#Topic/categories_mathematiques> # Catégories (Mathématiques)
    a schema:Intangible ;
    schema:name "Catégories (Mathématiques)"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/46244346#Topic/faisceaux_theorie_des> # Faisceaux, Théorie des
    a schema:Intangible ;
    schema:name "Faisceaux, Théorie des"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/46244346#Topic/theorie_des_categories> # Théorie des catégories
    a schema:Intangible ;
    schema:name "Théorie des catégories"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/46244346#Topic/theorie_des_faisceaux> # Théorie des faisceaux
    a schema:Intangible ;
    schema:name "Théorie des faisceaux"@en ;
    .

<http://id.worldcat.org/fast/1115421> # Sheaf theory
    a schema:Intangible ;
    schema:name "Sheaf theory"@en ;
    .

<http://id.worldcat.org/fast/849000> # Categories (Mathematics)
    a schema:Intangible ;
    schema:name "Categories (Mathematics)"@en ;
    .

<http://lib.myilibrary.com?id=133002>
    rdfs:comment "Connect to MyiLibrary resource." ;
    .

<http://viaf.org/viaf/108194486> # Masaki Kashiwara
    a schema:Person ;
    schema:birthDate "1947" ;
    schema:familyName "Kashiwara" ;
    schema:givenName "Masaki" ;
    schema:name "Masaki Kashiwara" ;
    .

<http://viaf.org/viaf/92250510> # Pierre Schapira
    a schema:Person ;
    schema:birthDate "1943" ;
    schema:familyName "Schapira" ;
    schema:givenName "Pierre" ;
    schema:name "Pierre Schapira" ;
    .

<http://worldcat.org/isbn/9783540279495>
    a schema:ProductModel ;
    schema:description "Cloth" ;
    schema:isbn "3540279490" ;
    schema:isbn "9783540279495" ;
    .

<http://worldcat.org/isbn/9783540279501>
    a schema:ProductModel ;
    schema:isbn "3540279504" ;
    schema:isbn "9783540279501" ;
    .

<http://worldcat.org/issn/0072-7830> # Grundlehren der mathematischen Wissenschaften ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/262692091> ; # Categories and sheaves
    schema:issn "0072-7830" ;
    schema:name "Grundlehren der mathematischen Wissenschaften ;" ;
    schema:name "Grundlehren der mathematischen Wissenschaften," ;
    .

<http://www.worldcat.org/oclc/61703264>
    a schema:CreativeWork ;
    rdfs:label "Categories and sheaves." ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/262692091> ; # Categories and sheaves
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.