Theorems · Definition · geometry

ContinuousLinearMap.toContinuousAffineMap

{R : Type u_1} →
  {V : Type u_2} →
    {W : Type u_3} →
      [inst : Ring R] →
        [inst_1 : AddCommGroup V] →
          [inst_2 : Module R V] →
            [inst_3 : TopologicalSpace V] →
              [inst_4 : AddCommGroup W] →
                [inst_5 : Module R W] → [inst_6 : TopologicalSpace W] → (V →L[R] W) → V →ᴬ[R] W

A continuous linear map can be regarded as a continuous affine map.

Defined in

Mathlib.Topology.Algebra.ContinuousAffineMap

Cited by

6 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Quot.sound

Assumes

RingAddCommGroupModuleTopologicalSpaceAddCommGroupModuleTopologicalSpace