*Definition [#fb46b819]
A topological space X is called compact-boundary compact (abbreviated to [[CB-compact]]) iff every cover of X by open sets with compact boundary has a finite subcover.
*Reference [#bb88fa1c]
A. Sondore, ''On CB-compact, countably CB-compact and CB-Lindeloef spaces'', Matematicki Vesnik 50 (1998) 125-133.