Theorems · Definition · measure theory

MeasureTheory.VectorMeasure.mapRangeHom

{M : Type u_3} →
  [inst : AddCommMonoid M] →
    [inst_1 : TopologicalSpace M] →
      {N : Type u_4} →
        [inst_2 : AddCommMonoid N] →
          [inst_3 : TopologicalSpace N] →
            [inst_4 : ContinuousAdd M] →
              [inst_5 : ContinuousAdd N] →
                {α : Type u_5} →
                  [inst_6 : MeasurableSpace α] →
                    (f : M →+ N) → Continuous ⇑f → MeasureTheory.VectorMeasure α M →+ MeasureTheory.VectorMeasure α N

Given a continuous AddMonoidHom f : M → N, mapRangeHom is the AddMonoidHom mapping the vector measure v on M to the vector measure f ∘ v on N.

Defined in

Mathlib.MeasureTheory.VectorMeasure.Basic

Cited by

0 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidTopologicalSpaceAddCommMonoidTopologicalSpaceContinuousAddContinuousAddMeasurableSpace