Word.ws English Dictionary

Cantor-Bendixson theorem

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.

Proper noun

Cantor-Bendixson theorem

  1. 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.

Origin of Cantor-Bendixson theorem

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

Questions about Cantor-Bendixson theorem

What does Cantor-Bendixson theorem mean?
Cantor-Bendixson theorem means 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.
What part of speech is Cantor-Bendixson theorem?
Cantor-Bendixson theorem is a proper noun.

Words near Cantor-Bendixson theorem in the dictionary

  1. Cantor dust
  2. Cantor set
  3. Cantor sets
  4. Cantor's diagonal argument
  5. Cantor's theorem
  6. Cantor-Bendixson theorem
  7. cantoral
  8. cantoral staff
  9. cantoral staffs
  10. cantoral staves
  11. Cantoran

Source and license

Adapted from Wiktionary: Cantor-Bendixson theorem (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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