Last Updated :2025/11/23

Heegaard splitting

Noun
Japanese Meaning
3次元多様体を、その境界部分で結合された2つのハンドル体に分割する操作
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3次元多様体の位相に関する多くの証明では、その多様体を境界で貼り合わせた2つの把手体への分解が、研究するための便利な方法となる。

plural

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The decomposition of a 3-manifold as two handlebodies unioned along their boundaries.

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Heegaard splitting

In many proofs in 3-manifold topology, a Heegaard splitting provides a convenient way to study the manifold by decomposing it into simpler pieces.

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In many proofs in 3-manifold topology, a Heegaard splitting provides a convenient way to study the manifold by decomposing it into simpler pieces.

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