Theorems · Theorem · algebraic topology

IsAddQuotientCoveringMap.fundamentalGroupToMulOpposite_injective

∀ {E : Type u_1} {X : Type u_2} [inst : TopologicalSpace E] [inst_1 : TopologicalSpace X] {p : E → X} {G : Type u_4}
  [inst_2 : AddGroup G] [inst_3 : AddAction G E] (hp : IsAddQuotientCoveringMap p G) {x : X} (e : ↑(p ⁻¹' {x}))
  [SimplyConnectedSpace E], Function.Injective ⇑(hp.fundamentalGroupToMulOpposite e)

Defined in

Mathlib.Topology.Homotopy.Lifting

Cited by

0 results in Mathlib

Foundations

Depth 147 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceAddGroupAddActionSimplyConnectedSpace