About: Descent (mathematics)

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In mathematics, the idea of descent extends the intuitive idea of 'gluing' in topology. Since the topologists' glue is the use of equivalence relations on topological spaces, the theory starts with some ideas on identification.

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rdfs:label	Descent (mathematics) (en) 내림 데이터 (ko)
rdfs:comment	In mathematics, the idea of descent extends the intuitive idea of 'gluing' in topology. Since the topologists' glue is the use of equivalence relations on topological spaces, the theory starts with some ideas on identification. (en) 범주론에서 내림 데이터(-data, 영어: descent datum, 프랑스어: donnée de descente)는 어떤 올범주의 밑범주 속의 대상의 덮개 위에 주어진, 각 덮개 원소 위의 올범주의 대상들로 구성된 구조이다. 이를 사용하여, 일부 경우 밑범주 속의 대상의 올범주의 한 원소를 유일하게 재구성할 수 있다. 어떤 경우 이러한 재구성이 가능한지를 연구하는 수학 분야를 내림 이론(영어: descent theory, 프랑스어: théorie de la descente)이라고 한다. (ko)
dcterms:subject	Topology Category theory Algebraic geometry
Wikipage page ID	361449 (xsd:integer)
Wikipage revision ID	1085875501 (xsd:integer)
Link from a Wikipage to another Wikipage	Cambridge University Press Beck's monadicity theorem Algebraic topology Galois descent Comonad Mathematics Tangent bundle Equaliser (mathematics) Stack (mathematics) Topology Alexander Grothendieck Algebraic geometry Topology Equivalence relation Fiber bundle Fondements de la Géometrie Algébrique Tensor field Quotient space (topology) Jacobian matrix and determinant Category theory Algebraic geometry Chain rule Cohomological descent Disjoint union Associated bundle Grothendieck connection Grothendieck topology Category theory Séminaire de Géométrie Algébrique du Bois Marie Up to Vector bundle Space (mathematics) Representable functor Transition map Springer-Verlag Fiber product Fibered category Moduli problem
Link from a Wikipage to an external page	https://mathoverflow.net/q/22032 http://perso.univ-rennes1.fr/matthieu.romagny/notes/stacks.pdf
sameAs	Descent (mathematics) Descent (mathematics) Descent (mathematics) Descent (mathematics)
dbp:wikiPageUsesTemplate	dbt:Cite_book dbt:No_footnotes dbt:Reflist dbt:Short_description dbt:ArXiv
has abstract	In mathematics, the idea of descent extends the intuitive idea of 'gluing' in topology. Since the topologists' glue is the use of equivalence relations on topological spaces, the theory starts with some ideas on identification. (en) 범주론에서 내림 데이터(-data, 영어: descent datum, 프랑스어: donnée de descente)는 어떤 올범주의 밑범주 속의 대상의 덮개 위에 주어진, 각 덮개 원소 위의 올범주의 대상들로 구성된 구조이다. 이를 사용하여, 일부 경우 밑범주 속의 대상의 올범주의 한 원소를 유일하게 재구성할 수 있다. 어떤 경우 이러한 재구성이 가능한지를 연구하는 수학 분야를 내림 이론(영어: descent theory, 프랑스어: théorie de la descente)이라고 한다. (ko)
prov:wasDerivedFrom	wikipedia-en:Descent_(mathematics)?oldid=1085875501&ns=0
page length (characters) of wiki page	6913 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Descent_(mathematics)
is Link from a Wikipage to another Wikipage of	Descent along torsors Ribet's theorem Descent Alexander Grothendieck Differentiable stack Moduli stack of vector bundles Fiber product of schemes Morphism of schemes Sheaf on an algebraic stack Faithfully-flat descent Descent (category theory) Descent data Descent theory
is Wikipage redirect of	Faithfully-flat descent Descent (category theory) Descent data Descent theory
is Wikipage disambiguates of	Descent
is foaf:primaryTopic of	wikipedia-en:Descent_(mathematics)

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