skip to content
Tool and object : a history and philosophy of category theory Preview this item
ClosePreview this item
Checking...

Tool and object : a history and philosophy of category theory

Author: Ralf Krömer
Publisher: Basel ; Boston : Birkhäuser, ©2007.
Series: Science networks historical studies, v. 32.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Category theory is a general mathematical theory of structures and of structures of structures. This book describes the history of category theory whereby illuminating its symbiotic relationship to algebraic topology, homological algebra, algebraic geometry and mathematical logic and develops the connections with the epistemological significance.
Rating:

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

Subjects
More like this

Find a copy in the library

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

Details

Genre/Form: Electronic books
History
Additional Physical Format: Print version:
Krömer, Ralf.
Tool and object.
Basel ; Boston : Birkhäuser, ©2007
(DLC) 2007920230
(OCoLC)85242858
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Ralf Krömer
ISBN: 9783764375249 3764375248 376437523X 9783764375232
OCLC Number: 262693975
Description: 1 online resource (xxxvi, 367 pages).
Contents: Prelude: Poincaré, Wittgenstein, Peirce, and the use of concepts --
Category theory in Algebraic Topology --
Category theory in Homological Algebra --
Category theory in Algebraic Geometry --
From tool to object: full-fledged category theory --
Categories as sets: problems and solutions --
Categorial foundations --
Pragmatism and category theory.
Series Title: Science networks historical studies, v. 32.
Responsibility: Ralf Krömer.

Abstract:

Category theory is a general mathematical theory of structures and of structures of structures.  Read more...

Reviews

Editorial reviews

Publisher Synopsis

From the reviews:"Kroemer provides a more complete historical study of category theory and its applications from the beginnings to about 1970. ... It caught the attention of people interested in 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/262693975> # Tool and object : a history and philosophy of category theory
    a schema:MediaObject, schema:CreativeWork, schema:Book ;
    library:oclcnum "262693975" ;
    library:placeOfPublication <http://dbpedia.org/resource/Boston> ; # Boston
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/792900649#Place/basel> ; # Basel
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/sz> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/792900649#Topic/categories_mathematics_philosophy> ; # Categories (Mathematics)--Philosophy
    schema:about <http://experiment.worldcat.org/entity/work/data/792900649#Topic/categories_mathematics> ; # Categories (Mathematics)
    schema:about <http://experiment.worldcat.org/entity/work/data/792900649#Topic/categories_mathematiques_histoire> ; # Catégories (Mathématiques)--Histoire
    schema:about <http://experiment.worldcat.org/entity/work/data/792900649#Topic/categorieen_wiskunde> ; # Categorieën (wiskunde)
    schema:about <http://experiment.worldcat.org/entity/work/data/792900649#Topic/categories_mathematics_history> ; # Categories (Mathematics)--History
    schema:about <http://dewey.info/class/512.62/e22/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/792900649#Topic/categories_mathematiques_philosophie> ; # Catégories (Mathématiques)--Philosophie
    schema:about <http://experiment.worldcat.org/entity/work/data/792900649#Topic/mathematics_algebra_intermediate> ; # MATHEMATICS--Algebra--Intermediate
    schema:bookFormat schema:EBook ;
    schema:copyrightYear "2007" ;
    schema:creator <http://viaf.org/viaf/64315654> ; # Ralf Krömer
    schema:datePublished "2007" ;
    schema:description "Prelude: Poincaré, Wittgenstein, Peirce, and the use of concepts -- Category theory in Algebraic Topology -- Category theory in Homological Algebra -- Category theory in Algebraic Geometry -- From tool to object: full-fledged category theory -- Categories as sets: problems and solutions -- Categorial foundations -- Pragmatism and category theory."@en ;
    schema:description "Category theory is a general mathematical theory of structures and of structures of structures. This book describes the history of category theory whereby illuminating its symbiotic relationship to algebraic topology, homological algebra, algebraic geometry and mathematical logic and develops the connections with the epistemological significance."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/792900649> ;
    schema:genre "History"@en ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/792900649#Series/science_networks_historical_studies> ; # Science networks historical studies ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/85242858> ;
    schema:name "Tool and object : a history and philosophy of category theory"@en ;
    schema:productID "262693975" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/262693975#PublicationEvent/basel_boston_birkhauser_2007> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/792900649#Agent/birkhauser> ; # Birkhäuser
    schema:url <http://www.myilibrary.com?id=94377&ref=toc> ;
    schema:url <http://www.myilibrary.com?id=94377> ;
    schema:url <https://link.springer.com/openurl?genre=book&isbn=978-3-7643-7523-2> ;
    schema:url <http://site.ebrary.com/id/10187548> ;
    schema:url <http://rave.ohiolink.edu/ebooks/ebc/9783764375249> ;
    schema:url <http://public.ebookcentral.proquest.com/choice/publicfullrecord.aspx?p=373012> ;
    schema:url <http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=206371> ;
    schema:url <http://public.eblib.com/choice/publicfullrecord.aspx?p=373012> ;
    schema:url <http://dx.doi.org/10.1007/978-3-7643-7524-9> ;
    schema:url <http://link.springer.com/openurl?genre=book&isbn=978-3-7643-7523-2> ;
    schema:url <http://www.springerlink.com/openurl.asp?genre=book&isbn=978-3-7643-7523-2> ;
    schema:workExample <http://worldcat.org/isbn/9783764375232> ;
    schema:workExample <http://worldcat.org/isbn/9783764375249> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/262693975> ;
    .


Related Entities

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

<http://experiment.worldcat.org/entity/work/data/792900649#Series/science_networks_historical_studies> # Science networks historical studies ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/262693975> ; # Tool and object : a history and philosophy of category theory
    schema:name "Science networks historical studies ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/792900649#Topic/categorieen_wiskunde> # Categorieën (wiskunde)
    a schema:Intangible ;
    schema:name "Categorieën (wiskunde)"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/792900649#Topic/categories_mathematics> # Categories (Mathematics)
    a schema:Intangible ;
    schema:name "Categories (Mathematics)"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/792900649#Topic/categories_mathematiques_histoire> # Catégories (Mathématiques)--Histoire
    a schema:Intangible ;
    schema:name "Catégories (Mathématiques)--Histoire"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/792900649#Topic/categories_mathematiques_philosophie> # Catégories (Mathématiques)--Philosophie
    a schema:Intangible ;
    schema:name "Catégories (Mathématiques)--Philosophie"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/792900649#Topic/mathematics_algebra_intermediate> # MATHEMATICS--Algebra--Intermediate
    a schema:Intangible ;
    schema:name "MATHEMATICS--Algebra--Intermediate"@en ;
    .

<http://viaf.org/viaf/64315654> # Ralf Krömer
    a schema:Person ;
    schema:familyName "Krömer" ;
    schema:givenName "Ralf" ;
    schema:name "Ralf Krömer" ;
    .

<http://worldcat.org/isbn/9783764375232>
    a schema:ProductModel ;
    schema:isbn "376437523X" ;
    schema:isbn "9783764375232" ;
    .

<http://worldcat.org/isbn/9783764375249>
    a schema:ProductModel ;
    schema:isbn "3764375248" ;
    schema:isbn "9783764375249" ;
    .

<http://www.worldcat.org/oclc/85242858>
    a schema:CreativeWork ;
    rdfs:label "Tool and object." ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/262693975> ; # Tool and object : a history and philosophy of category theory
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

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