collectionwise Hausdorff

Definition

• A topological space (X,τ) is said to be collectionwise Hausdorff (cwH) if every closed discrete collection Y of points of X can be screened.

Property

• Metric spaces are collectionwises Hausdorff.

Reference

1. Willam G. Fleissner, On λ collection Hausdorff spaces, Topology Proceedings 2, (1977, 445-456.