Cantor set

English

Etymology

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

Noun

construction of the Cantor set

Cantor set (plural Cantor sets)

1. (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, 2nd edition, New York: John Wiley & Sons, Inc., →ISBN, →OCLC, §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.

Synonyms

• Cantor dust

Translations

subset of an interval