Cantor set
English
Etymology
Named after German mathematician Georg Cantor (1845–1918).
Noun
![](Images/wiktionary/Cantor_set_in_seven_iterations.svg.png.webp)
construction of the Cantor set
Cantor set (plural Cantor sets)
- (mathematical analysis, topology) A subset of an interval formed by recursively removing an interval in the middle of every connected component of the set.
- 1999, Gerald B. Folland, Real Analysis : Modern Techniques and Their Applications, Second edition, New York: John Wiley & Sons, Inc., →ISBN, OCLC 803988029, §1.5, page 38:
- 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.
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Synonyms
- Cantor dust
Translations
subset of an interval