Theorems · Inductive type · general topology
TopologicalSpace.Compacts
(α : Type u_4) → [TopologicalSpace α] → Type u_4
The type of compact sets of a topological space.
- Defined in
- Mathlib.Topology.Sets.Compacts
- Cited by
- 386 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 by494
Results whose statement or proof uses this declaration.
- ContDiffMapSupportedInstatement · cited by 107
- TopologicalSpace.Compacts.carrierstatement and proof · cited by 45
- TopologicalSpace.Compacts.mapstatement and proof · cited by 37
- TopologicalSpace.NonemptyCompacts.toCompactsstatement · cited by 26
- MeasureTheory.Content.innerContentproof · cited by 22
- TopologicalSpace.Compacts.isCompact'statement and proof · cited by 19
- TopologicalSpace.Compacts.isCompactstatement and proof · cited by 18
- MeasureTheory.Measure.haar.addPrehaarstatement and proof · cited by 17
- MeasureTheory.Measure.haar.prehaarstatement and proof · cited by 17
- ContDiffMapSupportedIn.seminormstatement and proof · cited by 15
- TopologicalSpace.PositiveCompacts.toCompactsstatement · cited by 14
- ContDiffMapSupportedIn.structureMapCLMstatement and proof · cited by 13
Showing the 200 most cited of 494.