Theorems · Theorem · Lie groups

AddMonoidHom.isOpenMap_of_sigmaCompact

∀ {G : Type u_1} [inst : TopologicalSpace G] [inst_1 : AddGroup G] [IsTopologicalAddGroup G] [SigmaCompactSpace G]
  {H : Type u_3} [inst_4 : AddGroup H] [inst_5 : TopologicalSpace H] [BaireSpace H] [T2Space H] [ContinuousAdd H]
  (f : G →+ H), Function.Surjective ⇑f → Continuous ⇑f → IsOpenMap ⇑f

Defined in

Mathlib.Topology.Algebra.Group.OpenMapping

Cited by

0 results in Mathlib

Foundations

Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceAddGroupIsTopologicalAddGroupSigmaCompactSpaceAddGroupTopologicalSpaceBaireSpaceT2SpaceContinuousAdd