We conclude by noting that another characterization
of A-compactness follows from Mandelker. We call a family of closed
sets in XA-stable if every f∈A(X) is bounded on some member of . Then one can show that a space is A-compact if and only if every
A-stable family of closed sets with the finite intersection property has
nonempty intersection.
of closed
sets in X A-stable if every f∈A(X) is bounded on some member of