Measurable

{α : Type u_1} → {β : Type u_2} → [MeasurableSpace α] → [MeasurableSpace β] → (α → β) → Prop

A function f between measurable spaces is measurable if the preimage of every measurable set is measurable.

Defined in: Mathlib.MeasureTheory.MeasurableSpace.Defs
Cited by: 1,499 results in Mathlib
Foundations: Depth 5 from the axioms, rests on 12 definitions · uses no axioms
Assumes: MeasurableSpace MeasurableSpace

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