*Definition [#y90456be]
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 [#we37a4ce]
D. Buhagiar, T. Miwa, and B. A. Pasynkov, ''Superparacompact type properties'', Yokohama Math. J. Vol.46, pp.71-86 (1998).