Theorems · Theorem · algebraic topology

IsEvenlyCovered.of_fiber_homeomorph

∀ {E : Type u_1} {X : Type u_2} [inst : TopologicalSpace E] [inst_1 : TopologicalSpace X] {f : E → X} {I : Type u_3}
  [inst_2 : TopologicalSpace I] {J : Type u_4} [inst_3 : TopologicalSpace J] (g : I ≃ₜ J) {x : X},
  IsEvenlyCovered f x I → IsEvenlyCovered f x J

Defined in

Mathlib.Topology.Covering.Basic

Cited by

1 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpaceTopologicalSpace