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

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.

Article Details

How to Cite
Noorie, N., & Goyal, N. (2017). $$\mathcal{I}$$-convergence and $$\tau^{*}$$-closedness of $$\mathcal{I}$$-compact sets. Journal of Advanced Studies in Topology, 8(1), 78-84. https://doi.org/10.20454/jast.2017.1289
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