*Definition [#w858dfad]
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 [#ec82e2d1]
T. Hoshina, ''On Pseudoparacompactness and Continuous Mappings'', Proc. Japan Acad., 48 (1972) pp.581-584.