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- Homology_sphere abstract "In algebraic topology, a homology sphere is an n-manifold X having the homology groups of an n-sphere, for some integer n ≥ 1. That is, H0(X,Z) = Z = Hn(X,Z)and Hi(X,Z) = {0} for all other i.Therefore X is a connected space, with one non-zero higher Betti number: bn. It does not follow that X is simply connected, only that its fundamental group is perfect (see Hurewicz theorem).A rational homology sphere is defined similarly but using homology with rational coefficients.".
- Homology_sphere wikiPageExternalLink sici?sici=0002-9947%28196910%29144%3C67%3ASHSATF%3E2.0.CO%3B2-G.
- Homology_sphere wikiPageExternalLink sici?sici=0003-486X%28198001%292%3A111%3A1%3C1%3ACOSTOT%3E2.0.CO%3B2-N.
- Homology_sphere wikiPageExternalLink gillman.ram.
- Homology_sphere wikiPageExternalLink 23009.
- Homology_sphere wikiPageExternalLink _preview.html.
- Homology_sphere wikiPageID "585388".
- Homology_sphere wikiPageRevisionID "598393525".
- Homology_sphere hasPhotoCollection Homology_sphere.
- Homology_sphere subject Category:3-manifolds.
- Homology_sphere subject Category:Homology_theory.
- Homology_sphere subject Category:Spheres.
- Homology_sphere subject Category:Topological_spaces.
- Homology_sphere type Abstraction100002137.
- Homology_sphere type Attribute100024264.
- Homology_sphere type Environment113934596.
- Homology_sphere type MathematicalSpace108001685.
- Homology_sphere type Set107999699.
- Homology_sphere type Situation113927383.
- Homology_sphere type Space100028651.
- Homology_sphere type Sphere114514039.
- Homology_sphere type Spheres.
- Homology_sphere type State100024720.
- Homology_sphere type TopologicalSpaces.
- Homology_sphere comment "In algebraic topology, a homology sphere is an n-manifold X having the homology groups of an n-sphere, for some integer n ≥ 1. That is, H0(X,Z) = Z = Hn(X,Z)and Hi(X,Z) = {0} for all other i.Therefore X is a connected space, with one non-zero higher Betti number: bn. It does not follow that X is simply connected, only that its fundamental group is perfect (see Hurewicz theorem).A rational homology sphere is defined similarly but using homology with rational coefficients.".
- Homology_sphere label "Esfera homológica".
- Homology_sphere label "Homologiesphäre".
- Homology_sphere label "Homology sphere".
- Homology_sphere label "Sphère d'homologie".
- Homology_sphere label "Сфера Пуанкаре".
- Homology_sphere sameAs Homologiesphäre.
- Homology_sphere sameAs Esfera_homológica.
- Homology_sphere sameAs Sphère_d'homologie.
- Homology_sphere sameAs m.02smfg.
- Homology_sphere sameAs Q1502277.
- Homology_sphere sameAs Q1502277.
- Homology_sphere sameAs Homology_sphere.
- Homology_sphere wasDerivedFrom Homology_sphere?oldid=598393525.
- Homology_sphere isPrimaryTopicOf Homology_sphere.