# $$\mathcal{I}$$-convergence and $$\tau^{*}$$-closedness of $$\mathcal{I}$$-compact sets

• Navpreet Singh Noorie Punjabi University
• Nitakshi Goyal Punjabi University

### Abstract

We introduce the convergence and accumulation points of a filter with respect to an ideal and also give the relationship between them and with the usual convergence and accumulation points of a filter. We use these results to obtain necessary and sufficient condition for an $$\mathcal{I}$$-compact set to be $$\tau^{*}$$-closed in $$S_2$$ and normal spaces. Finally the sufficient condition for an $$\mathcal{I}$$-compact set to be $$\tau^{*}$$-closed in $$S_2$$ mod $\mathcal{I}$ spaces are obtained.

Published
2017-08-14
How to Cite
NOORIE, Navpreet Singh; GOYAL, Nitakshi. $$\mathcal{I}$$-convergence and $$\tau^{*}$$-closedness of $$\mathcal{I}$$-compact sets. Journal of Advanced Studies in Topology, [S.l.], v. 8, n. 1, p. 78-84, aug. 2017. ISSN 2090-388X. Available at: <http://m-sciences.com/index.php?journal=jast&page=article&op=view&path%5B%5D=1289>. Date accessed: 23 mar. 2018. doi: https://doi.org/10.20454/jast.2017.1289.
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