Abstract
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, with I ∈ I, the family of non-ideal sets is finite.
Cuvinte cheie
Countably ρI--compact; ρIg-closed set; Property L- I; Locally finite modulo I; Para-compact modulo I.