Cantor-Bendixson theorem

proper noun

A theorem which (in a simpler formulation) states that a closed uncountable set in Euclidean n-space is equal to the disjoint union of a perfect set and a countable set.

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Meanings

proper noun
  1. mathematicsA theorem which (in a simpler formulation) states that a closed uncountable set in Euclidean n-space is equal to the disjoint union of a perfect set and a countable set.

Origin

Named after Georg Cantor (1845–1918), a German mathematician who invented set theory, and Ivar Otto Bendixson (1861–1935), a Swedish mathematician.

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Cite this entry
APA

Cantor-Bendixson theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Cantor-Bendixson%20theorem

MLA

“Cantor-Bendixson theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Cantor-Bendixson%20theorem. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Cantor-Bendixson theorem,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Cantor-Bendixson%20theorem.

Source: Cantor-Bendixson theorem on Wiktionary, CC BY-SA 4.0.