Theorems · Inductive type · Lie groups
TopRep
(k : Type u) → (G : Type v) → [Ring k] → [TopologicalSpace k] → [Monoid G] → Type (max (max u v) (w + 1))
The category of topological representations of a monoid G over a topological ring k, and
their morphisms.
- Cited by
- 54 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- RingTopologicalSpaceMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
- Ringstatement · cited by 7,463
- Monoidstatement · cited by 3,887
Cited by102
Results whose statement or proof uses this declaration.
- TopRep.Vstatement and proof · cited by 36
- TopRep.ρstatement and proof · cited by 34
- TopRep.Hom.homstatement and proof · cited by 33
- TopRep.ofHomstatement · cited by 19
- TopRep.resstatement and proof · cited by 18
- TopRep.resolutionXstatement and proof · cited by 17
- TopRep.homogeneousCochainsstatement and proof · cited by 13
- TopRep.ofstatement · cited by 12
- TopRep.dstatement and proof · cited by 10
- TopRep.hom_extstatement and proof · cited by 9
- ContinuousCohomology.cochainsMapstatement and proof · cited by 8
- TopRep.resFunctorstatement and proof · cited by 7