metacompact space


Also found in: Wikipedia.

metacompact space

[‚med·ə¦käm‚pakt ′spās]
(mathematics)
A topological space with the property that every open covering F is associated with a point-finite open covering G, such that every element of G is a subset of an element of F.
References in periodicals archive ?
If X is a metacompact space or a subparacompact space and [mu] [member of] [M.sub.[tau]](X), then the subspace [supp.sub.X]([mu]) is Lindelof ([25], Theorem 27 for a paracompact space X).