T2Quotient

(X : Type u_1) → [TopologicalSpace X] → Type u_1

The largest T2 quotient of a topological space. This construction is left-adjoint to the inclusion of T2 spaces into all topological spaces.

Defined in: Mathlib.Topology.Separation.Hausdorff
Cited by: 8 results in Mathlib
Foundations: Depth 67 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.

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Results whose statement or proof uses this declaration.