\alef_1-paralindelof

Definition

• A topological space (X,τ) is said to be ℵ_1-paralindelof if every open cover of size ℵ_1 has a locally cauntable refinement.

Reference

• Szeptycki, Paul J., Uncovering separation properties in the Easton models. (English summary) ,Topology Proc. 19 (1994), 307–319.