Theorems · Definition · category theory
Condensed.discreteUnderlyingAdj
(C : Type w) →
[inst : CategoryTheory.Category.{u + 1, w} C] →
[inst_1 : CategoryTheory.HasWeakSheafify (CategoryTheory.coherentTopology CompHaus) C] →
Condensed.discrete C ⊣ Condensed.underlying CDiscreteness is left adjoint to the forgetful functor. When C is Type*, this is analogous to
TopCat.adj₁ : TopCat.discrete ⊣ forget TopCat.
- Defined in
- Mathlib.Condensed.Discrete.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement · cited by 8,081
- TopCatstatement · cited by 1,889
- CategoryTheory.Presheaf.IsSheafstatement · cited by 991
- CategoryTheory.Adjunctionstatement · cited by 524
- CategoryTheory.HasWeakSheafifystatement and proof · cited by 221
- CategoryTheory.coherentTopologystatement and proof · cited by 141
- CompHausstatement and proof · cited by 61
- Condensedstatement · cited by 20
- CategoryTheory.constantSheafAdjproof · cited by 7
- Condensed.discretestatement · cited by 5
Cited by5
Results whose statement or proof uses this declaration.
- CondensedMod.LocallyConstant.adjunctionproof · cited by 1
- CondensedSet.isDiscrete_tfaestatement and proof · cited by 1
- CondensedMod.isDiscrete_tfaestatement and proof · cited by 0
- CondensedMod.LocallyConstant.functorIsoDiscreteComponentsproof · cited by 0
- CondensedSet.LocallyConstant.isoproof · cited by 0