CB-compact

Definition

A topological space X is called CB-compact (or compact-boundary compact) iff every cover of X by open subsets with compact boundaries has a finite subcover.

Remark

• If every cover of X by open subsets with compact boundaries has a countable subcover, X is called CB-Lindeloef.

Reference

A. Sondore, On CB-compact, countably CB-compact and CB-Lindeloef spaces, Matematicki Vesnik 50 (1998) 125-133.