homology sphere
topological manifold whose homology coincides with that of a sphere, i.e. trivial except in the top and bottom degrees, where it has a single generator
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homology sphere
Summary
homology sphere ranks in the top 2% of general entities by monthly Wikipedia readership (143 views/month).[1]
Key Facts
- homology sphere's subclass of is recorded as topological manifold[2].
- homology sphere's subclass of is recorded as connected space[3].
- homology sphere's Freebase ID is recorded as /m/02smfg[4].
- homology sphere's defining formula is recorded as \operatorname H_i(X) = \begin{cases} \mathbb Z& i \in{0,\dim X} \ 0 & i \not\in{0,\dim X}\end{cases}[5].
- homology sphere's studied by is recorded as category theory[6].
- homology sphere's nLab ID is recorded as homology sphere[7].
- homology sphere's maintained by WikiProject is recorded as WikiProject Mathematics[8].
- homology sphere's Microsoft Academic ID is recorded as 104011308[9].
Why It Matters
homology sphere ranks in the top 2% of general entities by monthly Wikipedia readership (143 views/month).[1] It has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.[10] It is known by 7 alternative names across languages and contexts.[11]