\(\mathcal{I}\)-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: 16 oct. 2017. doi: https://doi.org/10.20454/jast.2017.1289.
Section
Original Articles