Last-modified: 2010-11-04 (木) 21:39:16
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.
D. Buhagiar, T. Miwa, and B. A. Pasynkov, Superparacompact type properties, Yokohama Math. J. Vol.46, pp.71-86 (1998).