Matches in DBpedia 2015-10 for { ?s ?p "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)andHi(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."@en }
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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)andHi(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 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)andHi(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.".