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- Classifying_space abstract "In mathematics, specifically in homotopy theory, a classifying space BG of a topological group G is the quotient of a weakly contractible space EG (i.e. a topological space for which all its homotopy groups are trivial) by a free action of G. It has the property that any G principal bundle over a paracompact manifold is isomorphic to a pullback of the principal bundle EG → BG.For a discrete group G, BG is, roughly speaking, a path-connected topological space X such that the fundamental group of X is isomorphic to G and the higher homotopy groups of X are trivial, that is, BG is an Eilenberg-Maclane space, or a K(G,1).".
- Classifying_space wikiPageID "923556".
- Classifying_space wikiPageRevisionID "582261308".
- Classifying_space hasPhotoCollection Classifying_space.
- Classifying_space id "C/c022440".
- Classifying_space title "Classifying space".
- Classifying_space subject Category:Algebraic_topology.
- Classifying_space subject Category:Fiber_bundles.
- Classifying_space subject Category:Homotopy_theory.
- Classifying_space subject Category:Representable_functors.
- Classifying_space type AnimalTissue105267548.
- Classifying_space type BodyPart105220461.
- Classifying_space type FiberBundle105475681.
- Classifying_space type FiberBundles.
- Classifying_space type NervousTissue105296775.
- Classifying_space type Part109385911.
- Classifying_space type PhysicalEntity100001930.
- Classifying_space type Thing100002452.
- Classifying_space type Tissue105267345.
- Classifying_space comment "In mathematics, specifically in homotopy theory, a classifying space BG of a topological group G is the quotient of a weakly contractible space EG (i.e. a topological space for which all its homotopy groups are trivial) by a free action of G.".
- Classifying_space label "Classifying space".
- Classifying_space label "Espaço de classificação".
- Classifying_space sameAs Klassifizierender_Raum.
- Classifying_space sameAs 분류_공간.
- Classifying_space sameAs Espaço_de_classificação.
- Classifying_space sameAs m.03q9vn.
- Classifying_space sameAs Q5128445.
- Classifying_space sameAs Q5128445.
- Classifying_space sameAs Classifying_space.
- Classifying_space wasDerivedFrom Classifying_space?oldid=582261308.
- Classifying_space isPrimaryTopicOf Classifying_space.