Theorems · Inductive type · general topology
SecondCountableTopology
(α : Type u) → [t : TopologicalSpace α] → Prop
A second-countable space is one with a countable basis.
- Defined in
- Mathlib.Topology.Bases
- Cited by
- 750 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 definitions · uses no axioms
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
Cited by867
Results whose statement or proof uses this declaration.
- LightProfiniteproof · cited by 90
- Measurable.aestronglyMeasurablestatement and proof · cited by 59
- AEMeasurable.aestronglyMeasurablestatement and proof · cited by 57
- StieltjesFunction.measurestatement · cited by 48
- Measurable.stronglyMeasurablestatement and proof · cited by 47
- aestronglyMeasurable_idstatement and proof · cited by 35
- measurableSet_lestatement and proof · cited by 28
- FintypeCat.toLightProfinitestatement and proof · cited by 23
- ContinuousOn.aestronglyMeasurableproof · cited by 21
- LightProfinite.ofstatement and proof · cited by 19
- measurableSet_ltstatement and proof · cited by 19
- Measurable.iSupstatement and proof · cited by 14
Showing the 200 most cited of 867.