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

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Navpreet Singh Noorie
Nitakshi Goyal

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.

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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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Original Articles