Theorems · Definition · category theory
TopCat.grothendieckTopology
CategoryTheory.GrothendieckTopology TopCat
The Grothendieck topology on the category of topological spaces is the topology given by jointly surjective open embeddings.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopCatstatement · cited by 1,889
- CategoryTheory.GrothendieckTopologystatement · cited by 1,415
- CategoryTheory.Precoverage.toGrothendieckproof · cited by 41
- TopCat.precoverageproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.isSheaf_zariskiTopology_continuousMapPresheafproof · cited by 1