Theorems · Inductive type · general topology
ProperlyDiscontinuousVAdd
(Γ : Type u_4) → (T : Type u_5) → [TopologicalSpace T] → [VAdd Γ T] → Prop
Class ProperlyDiscontinuousVAdd Γ T says that the additive action (+ᵥ) : Γ → T → T
is properly discontinuous, that is, for any pair of compact sets K, L in T, only finitely many
γ : Γ move K to have nontrivial intersection with L.
- Defined in
- Mathlib.Topology.Algebra.ConstMulAction
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- TopologicalSpaceVAdd
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
- VAddstatement · cited by 616
Cited by20
Results whose statement or proof uses this declaration.
- ProperlyDiscontinuousVAdd.exists_nhds_image_vadd_eq_selfstatement and proof · cited by 3
- ProperlyDiscontinuousVAdd.finite_disjoint_inter_imagestatement and proof · cited by 3
- properlyDiscontinuousVAdd_iffstatement and proof · cited by 2
- AddSubgroup.properlyDiscontinuousVAdd_iffstatement · cited by 2
- Topology.IsQuotientMap.isAddQuotientCoveringMap_of_properlyDiscontinuousVAddstatement and proof · cited by 1
- AddSubgroup.properlyDiscontinuousVAdd_iff_of_isFiniteRelIndexstatement and proof · cited by 1
- AddSubgroup.properlyDiscontinuousVAdd_of_lestatement and proof · cited by 1
- Topology.IsQuotientMap.isCoveringMapOn_of_properlyDiscontinuousVAddstatement and proof · cited by 1
- ProperlyDiscontinuousVAdd.finite_stabilizer'statement and proof · cited by 1
- ProperlyDiscontinuousVAdd.ofFiniteRelIndexstatement and proof · cited by 1
- AddSubgroup.Commensurable.properlyDiscontinuousVAdd_iffstatement · cited by 0
- isCoveringMapOn_quotientMk_of_properlyDiscontinuousVAddstatement and proof · cited by 0