Theorems · Definition · general topology
Compactum
Type (u_1 + 1)
The type Compactum of Compacta, defined as algebras for the ultrafilter monad.
- Defined in
- Mathlib.Topology.Category.Compactum
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ultrafilterproof · cited by 193
- CategoryTheory.Monad.Algebraproof · cited by 110
- CategoryTheory.ofTypeMonadproof · cited by 21
Cited by21
Results whose statement or proof uses this declaration.
- Compactum.strstatement and proof · cited by 9
- Compactum.inclstatement and proof · cited by 2
- Compactum.joinstatement and proof · cited by 2
- Compactum.le_nhds_of_str_eqstatement and proof · cited by 2
- Compactum.str_eq_of_le_nhdsstatement and proof · cited by 2
- Compactum.isClosed_clstatement and proof · cited by 1
- Compactum.isClosed_iffstatement and proof · cited by 1
- Compactum.join_distribstatement and proof · cited by 1
- Compactum.str_hom_commutestatement and proof · cited by 1
- Compactum.str_inclstatement and proof · cited by 1
- compactumToCompHaus.isoOfTopologicalSpacestatement · cited by 0
- Compactum.adjstatement · cited by 0