Word.ws English Dictionary

Cantor set

Cantor set noun: a subset of an interval formed by recursively removing an interval in the middle of every connected component of the set.

Noun

Cantor set (plural Cantor sets)

  1. A subset of an interval formed by recursively removing an interval in the middle of every connected component of the set.
    • The Lebesgue null sets include not only all countable sets but many sets having the cardinality of the continuum. We now present the standard example, the Cantor set, which is also of interest for other reasons.1999, Gerald B. Folland, Real Analysis : Modern Techniques and Their Applications, 2nd edition, New York: John Wiley & Sons, Inc., →ISBN, →OCLC, §1.5, page 38
    Synonyms:
    Cantor dust

Synonyms of Cantor set

Forms of Cantor set

pluralCantor sets

Origin of Cantor set

Named after German mathematician Georg Cantor (1845–1918).

Questions about Cantor set

What does Cantor set mean?
Cantor set means a subset of an interval formed by recursively removing an interval in the middle of every connected component of the set.
What part of speech is Cantor set?
Cantor set is a noun.
What is the plural of Cantor set?
The plural of Cantor set is Cantor sets.

Words near Cantor set in the dictionary

  1. Cantophone
  2. Cantophones
  3. Cantopop
  4. cantor
  5. Cantor dust
  6. Cantor set
  7. Cantor sets
  8. Cantor's diagonal argument
  9. Cantor's theorem
  10. Cantor-Bendixson theorem
  11. cantoral

Source and license

Adapted from Wiktionary: Cantor set (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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