Meanings
plural Cantor sets
- mathematical analysisA 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 38Synonyms: Cantor dust
Synonyms & antonyms
nounA subset of an interval formed by recursively removing an interval in the middle of every connected component of the set.
Origin
Named after German mathematician Georg Cantor (1845–1918).
Full word history & related roots →Translations
German Cantor-Menge
- Cantor-Mengesubset of an interval
Swedish cantormängd
- cantormängdsubset of an interval
Cite this entry
Cantor set. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Cantor%20set
“Cantor set.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Cantor%20set. Accessed November 5, 2026.
WatkinsX Dictionary, s.v. “Cantor set,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Cantor%20set.
Source: Cantor set on Wiktionary, CC BY-SA 4.0.