Baire function

noun

A function obtained from a continuous function by transfinite iteration of the operation of forming pointwise limits of sequences of functions.

Meanings

nounBaire function (plural Baire functions)

plural Baire functions

  1. mathematicsA function obtained from a continuous function by transfinite iteration of the operation of forming pointwise limits of sequences of functions.

Origin

Introduced by René-Louis Baire.

Full word history & related roots →
Cite this entry
APA

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

MLA

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

Chicago

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

Source: Baire function on Wiktionary, CC BY-SA 4.0.