Theorems · Theorem · Lie groups

TopologicalAddGroup.IsSES.ofClosedAddSubgroup

∀ {G : Type u_1} [inst : AddGroup G] [inst_1 : TopologicalSpace G] [IsTopologicalAddGroup G] (H : AddSubgroup G)
  [inst_3 : H.Normal], IsClosed ↑H → TopologicalAddGroup.IsSES H.subtype (QuotientAddGroup.mk' H)

Construct a short exact sequence of topological groups from a closed normal subgroup.

Defined in

Mathlib.Topology.Algebra.Group.Extension

Cited by

0 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddGroupTopologicalSpaceIsTopologicalAddGroupAddSubgroup.Normal