subparacompact

Definition

A topological space is called subparacompact if every open cover of X has a σ-discrete closed refinement.

Property

• Every metacompact space in which every closed subset is Gδ is subparacompact.

Remark

• It is also called σ-paracompact.

Reference

• Dennis K. Burke, On subcompact spaces, Proc. Amer. Math. Soc. Vol.23 No.3 (1969) pp.655-663.
• R. E. Hodel, A note on subparacompact spaces, Proceedings of the American Mathematical Society, 1970.