Theorems · Definition · measure theory

MeasureTheory.AEFinStronglyMeasurable

{α : Type u_1} →
  {β : Type u_2} →
    [TopologicalSpace β] →
      [Zero β] →
        {x : MeasurableSpace α} →
          (α → β) → autoParam (MeasureTheory.Measure α) MeasureTheory.AEFinStronglyMeasurable._auto_1 → Prop

A function is AEFinStronglyMeasurable with respect to a measure if it is almost everywhere equal to the limit of a sequence of simple functions with support with finite measure.

Defined in

Mathlib.MeasureTheory.Function.StronglyMeasurable.AEStronglyMeasurable

Cited by

27 results in Mathlib

Foundations

Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceZero