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CB-compact

Last-modified: 2010-09-21 (火) 13:15:45

Definition Edit

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 Edit

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

Reference Edit

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