measurable function

noun

A function whose codomain is a topological space and domain is a measurable space, with the property that the inverse image of every open set in its codomain is a measurable set in its domain.

Ask AI about this wordChatGPTClaudePerplexityGoogle AIGrok

Meanings

nounmeasurable function (plural measurable functions)

plural measurable functions

  1. mathematical analysisA function whose codomain is a topological space and domain is a measurable space, with the property that the inverse image of every open set in its codomain is a measurable set in its domain.
  2. mathematicsAny well-behaved function of real numbers between measurable spaces.

Synonyms & antonyms

Broader
functionmorphism
Narrower
Borel measurable functionsimple function

Translations

Finnish mitallinen funktio
  • mitallinen funktioTranslations
German messbare Funktion
  • messbare FunktionTranslations
Polish funkcja mierzalna
  • funkcja mierzalnaTranslations
Romanian funcție măsurabilă
  • funcție măsurabilăTranslations
Russian измеримая функция
  • измеримая функция (izmerimaja funkcija)Translations
Cite this entry
APA

measurable function. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/measurable%20function

MLA

“measurable function.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/measurable%20function. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “measurable function,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/measurable%20function.

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