Theorems · Inductive type · general topology
SpectralSpace
(X : Type u_3) → [TopologicalSpace X] → Prop
A topological space is spectral if it is T0, compact, sober, quasi-separated, and its compact open subsets form an open basis.
- Defined in
- Mathlib.Topology.Spectral.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 1 from the axioms · 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 by3
Results whose statement or proof uses this declaration.
- SpectralSpace.recOnstatement and proof · cited by 0
- Topology.IsOpenEmbedding.spectralSpacestatement and proof · cited by 0
- SpectralSpace.casesOnstatement and proof · cited by 0