$\hat{g}$-closed sets in ideal topological spaces

Authors

  • J. Antony Rex Rodrigo Department of Mathematics, V. O. Chidambaram College, Thoothukudi, Tamil Nadu, India
  • O. Ravi Department of Mathematics, P. M. Thevar College, Usilampatti, Madurai Dt, Tamilnadu, India
  • A. Naliniramalatha Department of Mathematics, Yadava College, Madurai, Tamilnadu, India 

DOI:

Keywords:

Abstract

Characterizations and properties of $\mathcal{I}_{\hat{g}}$-closed sets and $\mathcal{I}_{\hat{g}}$-open sets are given. A characterization of normal spaces is given in terms of $\mathcal{I}_{\hat{g}}$-open sets. Also, it is established that an $\mathcal{I}_{\hat{g}}$-closed subset of an $\mathcal{I}$-compact space is $\mathcal{I}$-compact.

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Published

2011-09-25

Issue

Vol. 17 No. 3 (2011)

Section

Articles

How to Cite

Antony Rex Rodrigo, J., et al. “$\hat{g}$-Closed Sets in Ideal Topological Spaces”. Methods of Functional Analysis and Topology, vol. 17, no. 3, Sept. 2011, pp. 274-80, https://zen.imath.kiev.ua/index.php/mfat/article/view/492.