Theorems · Definition · category theory
UniformSpaceCat.completionFunctor
CategoryTheory.Functor UniformSpaceCat CpltSepUniformSpace
The functor turning uniform spaces into complete separated uniform spaces.
- Defined in
- Mathlib.Topology.Category.UniformSpace
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- UniformSpace.Completionproof · cited by 192
- UniformSpace.Completion.mapproof · cited by 23
- UniformSpaceCatstatement and proof · cited by 20
- UniformSpaceCat.carrierproof · cited by 20
- CategoryTheory.ConcreteCategory.ofHomproof · cited by 18
- CpltSepUniformSpacestatement · cited by 9
- CpltSepUniformSpace.ofproof · cited by 3
- UniformSpaceCat.Hom.hom'proof · cited by 3
Cited by7
Results whose statement or proof uses this declaration.
- UniformSpaceCat.completionHomstatement · cited by 2
- UniformSpaceCat.extensionHomstatement · cited by 2
- UniformSpaceCat.completionFunctor_mapstatement and proof · cited by 0
- UniformSpaceCat.completionHom_valstatement · cited by 0
- UniformSpaceCat.extensionHom_valstatement and proof · cited by 0
- UniformSpaceCat.extension_comp_homstatement and proof · cited by 0
- UniformSpaceCat.adjstatement and proof · cited by 0