Theorems · Inductive type · category theory
TopCat
Type (u + 1)
The category of topological spaces.
- Defined in
- Mathlib.Topology.Category.TopCat.Basic
- Cited by
- 1,889 results in Mathlib
- Foundations
- Depth 0 from the axioms, rests on 1 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by2,927
Results whose statement or proof uses this declaration.
- TopCat.carrierstatement and proof · cited by 3,184
- AlgebraicGeometry.PresheafedSpace.carrierstatement · cited by 2,020
- AlgebraicGeometry.PresheafedSpace.Hom.basestatement · cited by 1,135
- TopologicalSpace.Opens.mapstatement and proof · cited by 645
- TopCat.Presheaf.stalkstatement and proof · cited by 407
- TopCat.Presheafstatement and proof · cited by 371
- CompHausLike.toTopstatement and proof · cited by 258
- TopCat.Presheaf.germstatement and proof · cited by 208
- TopCat.Presheaf.pushforwardstatement and proof · cited by 174
- TopCat.Hom.homstatement and proof · cited by 169
- CompHausLikestatement · cited by 145
- AlgebraicGeometry.LocallyRingedSpace.toTopCatstatement · cited by 128
Showing the 200 most cited of 2,927.