paracompact space

(redirected from Paracompact Hausdorff space)

paracompact space

[¦par·ə¦käm‚pakt ‚spās]
(mathematics)
A topological space with the property that every open covering F is associated with a locally finite open covering G, such that every element of G is a subset of an element F.
References in periodicals archive ?
We suppose that the cyclic group [Z.sub.p] acts freely on a paracompact Hausdorff space X, where p is a prime number and we denote by [X] * the orbit space of X by the action of [Z.sub.p].