http://dbpedia.org/ontology/abstract
|
In mathematics, it can be shown that every function can be written as the composite of a surjective function followed by an injective function. Factorization systems are a generalization of this situation in category theory.
, 범주론에서 분해계(分解系, 영어: factorization system)는 어떤 범주의 모든 사상을 특별한 모임에 속하는 두 사상의 합성으로 (동형 사상 아래) 표준적으로 분해하는 구조이다.
|
http://dbpedia.org/ontology/thumbnail
|
http://commons.wikimedia.org/wiki/Special:FilePath/Factorization_system_functoriality.png?width=300 +
|
http://dbpedia.org/ontology/wikiPageExternalLink
|
http://www.math.jhu.edu/~eriehl/factorization.pdf%7Ctitle= +
|
http://dbpedia.org/ontology/wikiPageID
|
7149012
|
http://dbpedia.org/ontology/wikiPageLength
|
5423
|
http://dbpedia.org/ontology/wikiPageRevisionID
|
1075260866
|
http://dbpedia.org/ontology/wikiPageWikiLink
|
http://dbpedia.org/resource/File:Factorization_system_functoriality.png +
, http://dbpedia.org/resource/File:Factorization_system_orthogonality.png +
, http://dbpedia.org/resource/Category_theory +
, http://dbpedia.org/resource/Weak_equivalence_%28homotopy_theory%29 +
, http://dbpedia.org/resource/Peter_J._Freyd +
, http://dbpedia.org/resource/Model_category +
, http://dbpedia.org/resource/Max_Kelly +
, http://dbpedia.org/resource/Morphisms +
, http://dbpedia.org/resource/Category_%28category_theory%29 +
, http://dbpedia.org/resource/Commutative_diagram +
, http://dbpedia.org/resource/Function_%28mathematics%29 +
, http://dbpedia.org/resource/Isomorphisms +
, http://dbpedia.org/resource/Limit_%28category_theory%29 +
, http://dbpedia.org/resource/Mathematics +
, http://dbpedia.org/resource/Surjective +
, http://dbpedia.org/resource/Category:Category_theory +
, http://dbpedia.org/resource/Comma_category +
, http://dbpedia.org/resource/Right_lifting_property +
, http://dbpedia.org/resource/Injective +
|
http://dbpedia.org/property/wikiPageUsesTemplate
|
http://dbpedia.org/resource/Template:Cite_journal +
, http://dbpedia.org/resource/Template:Citation +
|
http://purl.org/dc/terms/subject
|
http://dbpedia.org/resource/Category:Category_theory +
|
http://www.w3.org/ns/prov#wasDerivedFrom
|
http://en.wikipedia.org/wiki/Factorization_system?oldid=1075260866&ns=0 +
|
http://xmlns.com/foaf/0.1/depiction
|
http://commons.wikimedia.org/wiki/Special:FilePath/Factorization_system_functoriality.png +
, http://commons.wikimedia.org/wiki/Special:FilePath/Factorization_system_orthogonality.png +
|
http://xmlns.com/foaf/0.1/isPrimaryTopicOf
|
http://en.wikipedia.org/wiki/Factorization_system +
|
owl:sameAs |
http://ko.dbpedia.org/resource/%EB%B6%84%ED%95%B4%EA%B3%84 +
, http://rdf.freebase.com/ns/m.0h6vfw +
, http://dbpedia.org/resource/Factorization_system +
, http://www.wikidata.org/entity/Q5428747 +
, https://global.dbpedia.org/id/4jWfb +
|
rdfs:comment |
In mathematics, it can be shown that every function can be written as the composite of a surjective function followed by an injective function. Factorization systems are a generalization of this situation in category theory.
, 범주론에서 분해계(分解系, 영어: factorization system)는 어떤 범주의 모든 사상을 특별한 모임에 속하는 두 사상의 합성으로 (동형 사상 아래) 표준적으로 분해하는 구조이다.
|
rdfs:label |
분해계
, Factorization system
|