Theorems · Inductive type · algebraic topology

ContinuousMap.HomotopyWith

{X : Type u} →
  {Y : Type v} →
    [inst : TopologicalSpace X] → [inst_1 : TopologicalSpace Y] → C(X, Y) → C(X, Y) → (C(X, Y) → Prop) → Type (max u v)

The type of homotopies between f₀ f₁ : C(X, Y), where the intermediate maps satisfy the predicate P : C(X, Y) → Prop

Defined in

Mathlib.Topology.Homotopy.Basic

Cited by

33 results in Mathlib

Foundations

Depth 2 from the axioms · uses no axioms

Assumes

TopologicalSpaceTopologicalSpace