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
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.