Theorems · Definition · category theory
stoneCechEquivalence
(X : TopCat) → (Y : CompHaus) → (stoneCechObj X ⟶ Y) ≃ (X ⟶ compHausToTop.obj Y)
(Implementation) The bijection of homsets to establish the reflective adjunction of compact Hausdorff spaces in topological spaces.
- Defined in
- Mathlib.Topology.Category.CompHaus.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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.Functor.objstatement and proof · cited by 19,642
- Equivstatement · cited by 8,337
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- TopCatstatement and proof · cited by 1,889
- CompHausstatement and proof · cited by 61
- TopCat.ofHomproof · cited by 44
- stoneCechUnitproof · cited by 15
- CompHausLike.ofHomproof · cited by 11
- stoneCechExtendproof · cited by 6
- stoneCechObjstatement and proof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- topToCompHausproof · cited by 1
- Stonean.stoneCechEquivalenceproof · cited by 0