
Definition of Measurable function
1. Noun. (mathematics) Any wellbehaved function of real numbers between measurable spaces. ¹
2. Noun. (analysis) If a function's codomain is a topological space and the function's domain is a measurable space, then the function is measurable if the inverse image of every open set in its codomain is a measurable set in its domain. ¹
¹ Source: wiktionary.com