Theorems · Theorem · algebraic topology

IsAddQuotientCoveringMap.disjoint

∀ {E : Type u_1} {X : Type u_2} [inst : TopologicalSpace E] [inst_1 : TopologicalSpace X] {f : E → X} {G : Type u_4}
  [inst_2 : AddGroup G] [inst_3 : AddAction G E],
  IsAddQuotientCoveringMap f G → ∀ (e : E), ∃ U ∈ nhds e, ∀ (g : G), ((fun x => g +ᵥ x) '' U ∩ U).Nonempty → g = 0

Defined in

Mathlib.Topology.Covering.Quotient

Cited by

4 results in Mathlib

Foundations

Depth 19 from the axioms · uses propext, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceAddGroupAddAction