Theorems · Definition · general topology

LocallyConstant.toContinuousMapAddMonoidHom

{X : Type u_1} →
  {Y : Type u_2} →
    [inst : TopologicalSpace X] →
      [inst_1 : TopologicalSpace Y] →
        [inst_2 : AddMonoid Y] → [inst_3 : ContinuousAdd Y] → LocallyConstant X Y →+ C(X, Y)

The inclusion of locally-constant functions into continuous functions as an additive monoid hom.

Defined in

Mathlib.Topology.ContinuousMap.LocallyConstant

Cited by

2 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceAddMonoidContinuousAdd