Real Analysis
Posted: Fri Oct 14, 2016 4:47 am
Let's call a set "Pseudo compact" if it has the property that every closed cover (a cover consisting of closed sets) have a finite subcover.
I have a little ides on "Anti-Compact: subsets. Does Pseudo-Compact in this case the same as Anti-Compact? Then how can we describe the "Pseudo-Compact" subsets of Real Numbers?
I have a little ides on "Anti-Compact: subsets. Does Pseudo-Compact in this case the same as Anti-Compact? Then how can we describe the "Pseudo-Compact" subsets of Real Numbers?