Last Updated：2025/11/22

(topology) A manifold whose homology is the same as that of some sphere of the same dimension

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homology sphere

Source Word

homology sphere

Noun

(topology) A manifold whose homology is the same as that of some sphere of the same dimension

Japanese Meaning

与えられた次元の球面と同じホモロジー群を持つ多様体（位相幾何学における概念）

After months of computation, the team confirmed that the complex they constructed was indeed a homology sphere.

数か月にわたる計算の末、チームは自分たちが構築した複体が、同次群が同じ次元の球と一致する多様体であることを確認した。

Sense（1）

(topology) A manifold whose homology is the same as that of some sphere of the same dimension

homology spheres

（ plural ）