Theorems · Definition · algebraic topology

ContinuousMap.Homotopy.curry

{X : Type u} →
  {Y : Type v} →
    [inst : TopologicalSpace X] →
      [inst_1 : TopologicalSpace Y] → {f₀ f₁ : C(X, Y)} → f₀.Homotopy f₁ → C(↑unitInterval, C(X, Y))

Currying a homotopy to a continuous function from I to C(X, Y).

Defined in

Mathlib.Topology.Homotopy.Basic

Cited by

11 results in Mathlib

Foundations

Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace