An Entity of Type: Thing, from Named Graph: http://dbpedia.org, within Data Space: dbpedia.org

In category theory, a branch of mathematics, the cocycle category of objects X, Y in a model category is a category in which the objects are pairs of maps and the morphisms are obvious commutative diagrams between them. It is denoted by . (It may also be defined using the language of 2-category.) One has: if the model category is right proper and is such that weak equivalences are closed under finite products, is bijective.

Property Value
dbo:abstract
  • In category theory, a branch of mathematics, the cocycle category of objects X, Y in a model category is a category in which the objects are pairs of maps and the morphisms are obvious commutative diagrams between them. It is denoted by . (It may also be defined using the language of 2-category.) One has: if the model category is right proper and is such that weak equivalences are closed under finite products, is bijective. (en)
dbo:wikiPageExternalLink
dbo:wikiPageID
  • 40814473 (xsd:integer)
dbo:wikiPageLength
  • 1340 (xsd:nonNegativeInteger)
dbo:wikiPageRevisionID
  • 919470538 (xsd:integer)
dbo:wikiPageWikiLink
dbp:wikiPageUsesTemplate
dct:subject
rdfs:comment
  • In category theory, a branch of mathematics, the cocycle category of objects X, Y in a model category is a category in which the objects are pairs of maps and the morphisms are obvious commutative diagrams between them. It is denoted by . (It may also be defined using the language of 2-category.) One has: if the model category is right proper and is such that weak equivalences are closed under finite products, is bijective. (en)
rdfs:label
  • Cocycle category (en)
owl:sameAs
prov:wasDerivedFrom
foaf:depiction
foaf:isPrimaryTopicOf
is dbo:wikiPageWikiLink of
is foaf:primaryTopic of
Powered by OpenLink Virtuoso    This material is Open Knowledge     W3C Semantic Web Technology     This material is Open Knowledge    Valid XHTML + RDFa
This content was extracted from Wikipedia and is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License