Theorems · Inductive type · category theory
TopModuleCat
(R : Type u) → [Ring R] → [TopologicalSpace R] → Type (max u (v + 1))
The category of topological modules.
- Cited by
- 45 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- RingTopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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
Cited by107
Results whose statement or proof uses this declaration.
- TopModuleCat.toModuleCatstatement and proof · cited by 29
- TopModuleCat.Hom.homstatement and proof · cited by 22
- TopRep.homogeneousCochainsstatement · cited by 13
- ContinuousCohomology.cochainsMapstatement · cited by 8
- TopRep.invariantsstatement · cited by 5
- ContinuousCohomology.cocyclesstatement · cited by 5
- ContinuousCohomology.cocyclesMapstatement · cited by 5
- continuousCohomologystatement · cited by 5
- ContinuousCohomology.mapstatement · cited by 5
- TopModuleCat.freeObjstatement · cited by 4
- TopModuleCat.ofstatement · cited by 4
- TopModuleCat.ofHomstatement · cited by 4