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- Covering_space abstract "In mathematics, more specifically algebraic topology, a covering map (also covering projection) is a continuous function p from a topological space, C, to a topological space, X, such that each point in X has an open neighbourhood evenly covered by p (as shown in the image); the precise definition is given below. In this case, C is called a covering space and X the base space of the covering projection. The definition implies that every covering map is a local homeomorphism.Covering spaces play an important role in homotopy theory, harmonic analysis, Riemannian geometry and differential topology. In Riemannian geometry for example, ramification is a generalization of the notion of covering maps. Covering spaces are also deeply intertwined with the study of homotopy groups and, in particular, the fundamental group. An important application comes from the result that, if X is a "sufficiently good" topological space, there is a bijection from the collection of all isomorphism classes of connected coverings of X and subgroups of the fundamental group of X.".
- Covering_space thumbnail Covering_space_diagram.svg?width=300.
- Covering_space wikiPageExternalLink tr7abs.html.
- Covering_space wikiPageExternalLink www.
- Covering_space wikiPageExternalLink topgpds.html.
- Covering_space wikiPageExternalLink ATpage.html.
- Covering_space wikiPageID "250323".
- Covering_space wikiPageRevisionID "594559486".
- Covering_space first "A.V.".
- Covering_space hasPhotoCollection Covering_space.
- Covering_space id "Covering&oldid=13627".
- Covering_space last "Chernavskii".
- Covering_space title "Covering".
- Covering_space subject Category:Algebraic_topology.
- Covering_space subject Category:Fiber_bundles.
- Covering_space subject Category:Homotopy_theory.
- Covering_space subject Category:Topological_graph_theory.
- Covering_space type AnimalTissue105267548.
- Covering_space type BodyPart105220461.
- Covering_space type FiberBundle105475681.
- Covering_space type FiberBundles.
- Covering_space type NervousTissue105296775.
- Covering_space type Part109385911.
- Covering_space type PhysicalEntity100001930.
- Covering_space type Thing100002452.
- Covering_space type Tissue105267345.
- Covering_space comment "In mathematics, more specifically algebraic topology, a covering map (also covering projection) is a continuous function p from a topological space, C, to a topological space, X, such that each point in X has an open neighbourhood evenly covered by p (as shown in the image); the precise definition is given below. In this case, C is called a covering space and X the base space of the covering projection.".
- Covering_space label "Cobertura (topologia)".
- Covering_space label "Covering space".
- Covering_space label "Espacio recubridor".
- Covering_space label "Nakrycie".
- Covering_space label "Revêtement (mathématiques)".
- Covering_space label "Rivestimento (topologia)".
- Covering_space label "Überlagerung (Topologie)".
- Covering_space label "Накрытие".
- Covering_space label "被覆空間".
- Covering_space label "覆疊空間".
- Covering_space sameAs Überlagerung_(Topologie).
- Covering_space sameAs Espacio_recubridor.
- Covering_space sameAs Revêtement_(mathématiques).
- Covering_space sameAs Rivestimento_(topologia).
- Covering_space sameAs 被覆空間.
- Covering_space sameAs 피복공간.
- Covering_space sameAs Nakrycie.
- Covering_space sameAs Cobertura_(topologia).
- Covering_space sameAs m.01l4c4.
- Covering_space sameAs Q332648.
- Covering_space sameAs Q332648.
- Covering_space sameAs Covering_space.
- Covering_space wasDerivedFrom Covering_space?oldid=594559486.
- Covering_space depiction Covering_space_diagram.svg.
- Covering_space isPrimaryTopicOf Covering_space.