pseudoparacompact

Definition

The completion of a space X with respect to its finest uniformity is called the topological completion of X, denoted by μX. A space X is called pseudoparacompact if μX is paracompact.

Reference

T. Hoshina, On Pseudoparacompactness and Continuous Mappings, Proc. Japan Acad., 48 (1972) pp.581-584.