Mathlib Map

Theorems · Definition · general topology

topologicalKrullDim

(T : Type u_1) → [TopologicalSpace T] → WithBot ℕ∞

The Krull dimension of a topological space is the supremum of lengths of chains of closed irreducible sets.

Defined in
Mathlib.Topology.KrullDimension
Cited by
6 results in Mathlib
Foundations
Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace

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.

Cited by6

Results whose statement or proof uses this declaration.