countably compact set

countably compact set

[′kau̇nt·ə·blē ‚käm‚pakt ′set]
(mathematics)
A set with the property that every cover with countably many open sets contains a finite number of sets which is also a cover.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
On the other hand a topological space X is angelic if relatively countably compact sets in X are relatively compact and for every relatively compact subset A of X each point of [bar.A] is the limit of a sequence of A, [12].
On locally convex weakly Lindelof [SIGMA]-spaces
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