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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

Issue:

SSRSMI, Number 1, Volume XXXI

Section:

Volume 31, Number 1

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.

Keywords:

Countably ρI--compact, ρIg-closed set, Property L- I, Locally finite modulo I, Para-compact modulo I.

Code [ID]:

SSRSMI202101V31S01A0008 [0005402]

Note:

Full paper:

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