CHARACTERIZATIONS OF COUNTABLY ρI- COMPACT IDEAL TOPOLO
GICAL SPACES
SUMIT MITTAL 1 AND B. K. TYAGI 2 1. University of Delhi,
Deparment of Mathematics,
New Delhi, India 110007
e-mail: sumitmittal1105@gmail.com
2. Atma Ram Sanatan Dharma College,
Department of Mathematics,
University of Delhi,
New Delhi, India 110021
e-mail: brijkishore.tyagi@gmail.com
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.
