principal ultrafilter

noun

An ultrafilter such that every set belonging to it is the superset of some fixed singleton set.

Meanings

nounprincipal ultrafilter (plural principal ultrafilters)

plural principal ultrafilters

  1. mathematicsAn ultrafilter such that every set belonging to it is the superset of some fixed singleton set.

Synonyms & antonyms

Cite this entry
APA

principal ultrafilter. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/principal%20ultrafilter

MLA

“principal ultrafilter.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/principal%20ultrafilter. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “principal ultrafilter,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/principal%20ultrafilter.

Source: principal ultrafilter on Wiktionary, CC BY-SA 4.0.