CHARACTERIZATIONS OF COUNTABLY ρI-COMPACT IDEAL TOPOLOGICAL SPACES.

The concept of countably ρI-compactness is introduced and several characterizations of this notion are obtained. It is shown that an ideal space (X, τ, I) is countably ρI-compact if and only if every countable locally finite modulo I, I ∈ I, family of non-ideal sets is finite. [ABSTRACT FROM AUTHOR]