Theorems · Definition · Lie groups
TopologicalAbelianization
(G : Type u_1) → [inst : Group G] → [inst_1 : TopologicalSpace G] → [IsTopologicalGroup G] → Type u_1
The topological abelianization of absoluteGaloisGroup, that is, the quotient of
absoluteGaloisGroup by the topological closure of its commutator subgroup.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Groupstatement and proof · cited by 6,238
- HasQuotient.Quotientproof · cited by 2,301
- IsTopologicalGroupstatement and proof · cited by 469
- commutatorproof · cited by 56
- Subgroup.topologicalClosureproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- Field.absoluteGaloisGroupAbelianizationproof · cited by 0