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rc-compact

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

Definition Edit

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 Edit

  • 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 Edit

  • Recently this property is called S-closed.

Reference Edit

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.