Last Updated :2025/12/07

Alexander horned sphere

Noun
Japanese Meaning
位相幾何学における病的な対象で、トーラスの様々な変形を経て得られる、三次元ユークリッド空間内への球面の特殊な埋め込みを指す。
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位相幾何学のゼミでは、アレクサンダーの角付き球面が三次元ユークリッド空間におけるいわゆる「ワイルド」な球面の埋め込みの古典的な例として研究された。

plural

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(topology) A pathological object, a certain embedding of a sphere in three-dimensional Euclidean space, obtained by various modifications of a torus.

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Alexander horned sphere

The topology seminar studied the Alexander horned sphere as a classic example of a wild embedding of a sphere in three-dimensional Euclidean space.

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The topology seminar studied the Alexander horned sphere as a classic example of a wild embedding of a sphere in three-dimensional Euclidean space.

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