Last Updated：2025/11/23

Related to a closed three-dimensional manifold's being the identification of two handlebodies along their respective boundaries.

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Heegaard

Source Word

Heegaard

Adjective

not-comparable

Related to a closed three-dimensional manifold's being the identification of two handlebodies along their respective boundaries.

Japanese Meaning

数学、特に位相幾何学の分野において、閉じた三次元多様体が、それぞれの境界面に沿って二つのハンドル体（穴の空いた立体）を同一視（合体）することによって構成される性質や構造に関連する概念

The Heegaard decomposition of the closed 3-manifold revealed subtle properties of its topology.

その閉じた3次元多様体を境界で接合した2つのハンドル体に分解することで、その位相の微妙な性質が明らかになった。

Sense（1）

Related to a closed three-dimensional manifold's being the identification of two handlebodies along their respective boundaries.