Theorems · Theorem · algebraic topology

IsCoveringMapOn.homeomorph_comp_iff

∀ {E : Type u_1} {X : Type u_2} [inst : TopologicalSpace E] [inst_1 : TopologicalSpace X] {f : E → X} {s : Set X}
  {Y : Type u_3} [inst_2 : TopologicalSpace Y] (g : X ≃ₜ Y),
  IsCoveringMapOn (⇑g ∘ f) (⇑g.symm ⁻¹' s) ↔ IsCoveringMapOn f s

Defined in

Mathlib.Topology.Covering.Basic

Cited by

0 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpace