Theorems · Definition · algebraic topology

IsCoveringMap.liftPath

{E : Type u_1} →
  {X : Type u_2} →
    [inst : TopologicalSpace E] →
      [inst_1 : TopologicalSpace X] →
        {p : E → X} → IsCoveringMap p → (γ : C(↑unitInterval, X)) → (e : E) → γ 0 = p e → C(↑unitInterval, E)

The lift of a path to a covering space given a lift of the left endpoint.

Defined in

Mathlib.Topology.Homotopy.Lifting

Cited by

14 results in Mathlib

Foundations

Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace