Theorems · Definition · measure theory

MeasureTheory.VectorMeasure.mapRange

{α : Type u_1} →
  {mα : MeasurableSpace α} →
    {M : Type u_3} →
      [inst : AddCommMonoid M] →
        [inst_1 : TopologicalSpace M] →
          {N : Type u_4} →
            [inst_2 : AddCommMonoid N] →
              [inst_3 : TopologicalSpace N] →
                MeasureTheory.VectorMeasure α M → (f : M →+ N) → Continuous ⇑f → MeasureTheory.VectorMeasure α N

Given a vector measure v on M and a continuous AddMonoidHom f : M → N, f ∘ v is a vector measure on N.

Defined in

Mathlib.MeasureTheory.VectorMeasure.Basic

Cited by

24 results in Mathlib

Foundations

Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidTopologicalSpaceAddCommMonoidTopologicalSpace