measurable function

measurable function (plural measurable functions)

1. (mathematical 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.
2. (mathematics) Any well-behaved function of real numbers between measurable spaces.

• function

• Borel measurable function
• simple function

• measurable function on Wikipedia.Wikipedia