Theorems · Definition · category theory
Condensed.discrete
(C : Type w) →
[inst : CategoryTheory.Category.{u + 1, w} C] →
[CategoryTheory.HasWeakSheafify (CategoryTheory.coherentTopology CompHaus) C] →
CategoryTheory.Functor C (Condensed C)The discrete condensed object associated to an object of C is the constant sheaf at that object.
- Defined in
- Mathlib.Condensed.Discrete.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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.HasWeakSheafifystatement and proof · cited by 221
- CategoryTheory.coherentTopologystatement and proof · cited by 141
- CompHausstatement and proof · cited by 61
- CategoryTheory.constantSheafproof · cited by 30
- Condensedstatement · cited by 20
Cited by10
Results whose statement or proof uses this declaration.
- Condensed.discreteUnderlyingAdjstatement · cited by 2
- CondensedSet.isDiscrete_tfaestatement and proof · cited by 1
- Condensed.discrete_mapstatement and proof · cited by 0
- Condensed.discrete_objstatement and proof · cited by 0
- CondensedMod.LocallyConstant.functorIsoDiscretestatement · cited by 0
- CondensedMod.LocallyConstant.functorIsoDiscreteAux₂statement and proof · cited by 0
- CondensedMod.LocallyConstant.functorIsoDiscreteComponentsstatement · cited by 0
- Condensed.discrete.congr_simpstatement and proof · cited by 0
- CondensedMod.isDiscrete_tfaestatement and proof · cited by 0
- CondensedSet.LocallyConstant.isostatement · cited by 0