*Definition [#pe9db9c4]
A topological space X is called finite-boundary compact (abbreviated to [[FB-compact]]) iff every cover of X by open sets with finite boundaries has a finite subcover.
*Reference [#n1e73e97]
A. Sondore, ''On CB-compact, countably CB-compact and CB-Lindeloef spaces'', Matematicki Vesnik 50 (1998) 125-133.