paracompact space

(redirected from Paracompact topological 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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Suppose X is a Hausdorff normal and countably paracompact topological space and [mu]: [B.sub.0](X) [right arrow] E a Baire measure.
Suppose X is a Hausdorff normal and countably paracompact topological space and [mu]: C(X) [right arrow] E be a linear map such that order-bounded subsets are mapped into relatively weakly compact subsets of E.
If X is a paracompact topological space and Y is a convex set in a Hausdorff topological vector space, by the selection theorem of Yannelis and Prabhakar [27], any mapping T : X [??] Y with nonempty convex values and open fibers is selectionable.