Theorems · Definition · algebraic topology

ContinuousMap.Homotopic

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

Given continuous maps f₀ and f₁, we say f₀ and f₁ are homotopic if there exists a ContinuousMap.Homotopy f₀ f₁.

Defined in

Mathlib.Topology.Homotopy.Basic

Cited by

24 results in Mathlib

Foundations

Depth 3 from the axioms · uses no axioms

Assumes

TopologicalSpaceTopologicalSpace