*Definition [#s9b4fd98]
A topological space X is called rc-compact if every [[semiopen]] cover U of X has a finite subfamily V such that the closures of the members of V cover X.

*Property [#g60808e6]
-A cover of a space by [[regular closed]] subsets is called an rc-cover. A space is rc-compact iff every rc-cover has a finite subcover.

*Remark [#le6ecfb3]
-Recently this property is called [[S-closed]].

*Reference [#bf6a85b6]
Bassam Al-Nashef, ''rc-continuous functions and functions with rc-strongly closed graph'', International Journal of Mathematics and Mathematical Sciences Volume 2003 (2003), Issue 72, Pages 4547-4555.