rc-compact

Last-modified: 2010-08-30 (月) 16:25:55

Definition

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

  • 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

  • Recently this property is called S-closed.

Reference

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.