Theorems · Definition · number theory

AbstractMeasure.map

{X : Type u_1} →
  {Y : Type u_2} →
    {R : Type u_3} →
      {E : Type u_4} →
        [inst : TopologicalSpace X] →
          [inst_1 : TopologicalSpace Y] →
            [inst_2 : AddCommGroup E] →
              [inst_3 : TopologicalSpace E] →
                [inst_4 : IsTopologicalAddGroup E] →
                  [inst_5 : CommRing R] →
                    [inst_6 : TopologicalSpace R] →
                      [inst_7 : IsTopologicalRing R] →
                        [inst_8 : Module R E] →
                          [inst_9 : ContinuousSMul R E] → C(X, Y) → AbstractMeasure X R E →ₗ[R] AbstractMeasure Y R E

Measures can be pushed forward (R-linearly) along continuous maps.

Defined in

Mathlib.NumberTheory.Padics.Measure.Basic

Cited by

4 results in Mathlib

Foundations

Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceAddCommGroupTopologicalSpaceIsTopologicalAddGroupCommRingTopologicalSpaceIsTopologicalRingModuleContinuousSMul