*Definition [#qa30e929]
A Tychonoff space X is said to be completely paracompact if for every open cover U of X, there exists a sequence V_i of [[star-finite]] open covers whose union containes a refinement of U.

*Reference [#q190c88e]
K.P.Hart, J. Nagata and J.E. Vaughan, ''Encyclopedia of general topology'', Elsevier Science.