*Definition [#b49d3b76]
A topological space X is called CCL-compact iff every cover of X by open sets with compact closures has a finite subcover.
*Remark [#w0dea9b6]
-See [[CB-compact]], [[FB-compact]].
*Reference [#f45fe36a]
A. Sondore, ''On CB-compact, countably CB-compact and CB-Lindeloef spaces'', Matematicki Vesnik 50 (1998) 125-133.