Caccioppoli set

noun

A set whose boundary is measurable and has (at least locally) finite measure.

Meanings

nounCaccioppoli set (plural Caccioppoli sets)

plural Caccioppoli sets

  1. mathematicsA set whose boundary is measurable and has (at least locally) finite measure.

Origin

The concept was introduced by the Italian mathematician Renato Caccioppoli in a paper in 1927.

Full word history & related roots →
Cite this entry
APA

Caccioppoli set. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Caccioppoli%20set

MLA

“Caccioppoli set.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Caccioppoli%20set. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Caccioppoli set,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Caccioppoli%20set.

Source: Caccioppoli set on Wiktionary, CC BY-SA 4.0.