supermetacompact

Definition

A topological space X is said to be supermetacompact iff for open cover U of X, U^F has a point-finite clopen refinement, where U^F is the collection of all unions of finite subcollections from U.

Reference

D. Buhagiar, T. Miwa, and B. A. Pasynkov, Superparacompact type properties, Yokohama Math. J. Vol.46, pp.71-86 (1998).