Theorems · Definition · algebraic topology

IsQuotientCoveringMap.fiberEquivGroup

{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 → {x : X} → ↑(f ⁻¹' {x}) → ↑(f ⁻¹' {x}) ≃ G

Fibers of a quotient covering map by a group G is a G-torsor.

Defined in

Mathlib.Topology.Covering.Quotient

Cited by

6 results in Mathlib

Foundations

Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceGroupMulAction