Theorems · Definition · geometry

ContinuousAffineMap.lineMap

{R : Type u_1} →
  {V : Type u_2} →
    {P : Type u_4} →
      [inst : Ring R] →
        [inst_1 : AddCommGroup V] →
          [inst_2 : Module R V] →
            [inst_3 : TopologicalSpace P] →
              [inst_4 : AddTorsor V P] →
                P →
                  P →
                    [inst_5 : TopologicalSpace R] →
                      [inst_6 : TopologicalSpace V] → [ContinuousSMul R V] → [ContinuousVAdd V P] → R →ᴬ[R] P

The continuous affine map sending 0 to p₀ and 1 to p₁

Defined in

Mathlib.Topology.Algebra.ContinuousAffineMap

Cited by

8 results in Mathlib

Foundations

Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModuleTopologicalSpaceAddTorsorTopologicalSpaceTopologicalSpaceContinuousSMulContinuousVAdd