Theorems · Definition · Lie groups
PontryaginDual.map
{A : Type u_1} →
{B : Type u_2} →
[inst : Monoid A] →
[inst_1 : Monoid B] →
[inst_2 : TopologicalSpace A] →
[inst_3 : TopologicalSpace B] → (A →ₜ* B) → PontryaginDual B →ₜ* PontryaginDual APontryaginDual is a contravariant functor.
- Defined in
- Mathlib.Topology.Algebra.PontryaginDual
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 176 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
- Monoidstatement and proof · cited by 3,887
- Circleproof · cited by 227
- ContinuousMonoidHomstatement and proof · cited by 104
- PontryaginDualstatement · cited by 7
- ContinuousMonoidHom.compLeftproof · cited by 0
Cited by5
Results whose statement or proof uses this declaration.
- PontryaginDual.mapHomproof · cited by 0
- PontryaginDual.map_applystatement · cited by 0
- PontryaginDual.map_compstatement · cited by 0
- PontryaginDual.map_mulstatement · cited by 0
- PontryaginDual.map_onestatement · cited by 0