*Definition [#xe9c30b1]
A topological space X is called countably FB-compact iff every countable cover of X by open sets with finite boundaries has a finite subcover.
*Remark [#kc55c144]
-See [[FB-compact]].
*Reference [#j7d667b7]
A. Sondore, ''On CB-compact, countably CB-compact and CB-Lindeloef spaces'', Matematicki Vesnik 50 (1998) 125-133.