Theorems · Theorem · algebraic topology

IsQuotientCoveringMap.isCancelSMul

∀ {E : Type u_1} {X : Type u_2} [inst : TopologicalSpace E] [inst_1 : TopologicalSpace X] {f : E → X} {G : Type u_3}
  [inst_2 : Group G] [inst_3 : MulAction G E], IsQuotientCoveringMap f G → IsCancelSMul G E

The group action on the domain of a quotient covering map is free.

Defined in

Mathlib.Topology.Covering.Quotient

Cited by

3 results in Mathlib

Foundations

Depth 60 from the axioms · uses propext, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceGroupMulAction