Theorems · Definition · category theory
topToCompHaus
CategoryTheory.Functor TopCat CompHaus
The Stone-Cech compactification functor from topological spaces to compact Hausdorff spaces, left adjoint to the inclusion functor.
- Defined in
- Mathlib.Topology.Category.CompHaus.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functorstatement · cited by 16,252
- TopCatstatement · cited by 1,889
- CompHausstatement · cited by 61
- CategoryTheory.Adjunction.leftAdjointOfEquivproof · cited by 7
- stoneCechEquivalenceproof · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- topToCompHaus_objstatement · cited by 0