Theorems · Definition · category theory
CondensedSet.toTopCatMap
{X Y : CondensedSet} → (X ⟶ Y) → (X.toTopCat ⟶ Y.toTopCat)The map part of the functor CondensedSet ⥤ TopCat
- Defined in
- Mathlib.Condensed.TopCatAdjunction
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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.Homstatement and proof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement · cited by 8,081
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- TopCatstatement · cited by 1,889
- CategoryTheory.Presheaf.IsSheafstatement · cited by 991
- CategoryTheory.InducedCategory.Hom.homproof · cited by 850
- CategoryTheory.coherentTopologystatement · cited by 141
- CompHausstatement · cited by 61
- TopCat.ofHomproof · cited by 44
Cited by4
Results whose statement or proof uses this declaration.
- condensedSetToTopCatproof · cited by 2
- condensedSetToTopCat_mapstatement · cited by 0
- CondensedSet.condensedSetToCompactlyGeneratedproof · cited by 0
- CondensedSet.toTopCatMap_hom_applystatement and proof · cited by 0