Alexander horned sphere

noun

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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Meanings

nounAlexander horned sphere (plural Alexander horned spheres)

plural Alexander horned spheres

  1. mathematicsA pathological object, a certain embedding of a sphere in three-dimensional Euclidean space, obtained by various modifications of a torus.

Origin

Discovered by J. W. Alexander (1924).

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Cite this entry
APA

Alexander horned sphere. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Alexander%20horned%20sphere

MLA

“Alexander horned sphere.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Alexander%20horned%20sphere. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Alexander horned sphere,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Alexander%20horned%20sphere.

Source: Alexander horned sphere on Wiktionary, CC BY-SA 4.0.