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g-closed sets in ideal topological spaces

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Abstract

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

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Authors and Affiliations

  1. Department of Mathematics, Kamaraj College, Thoothukudi, Tamil Nadu, India

    M. Navaneethakrishnan

  2. Department of Mathematics, M.S. University, Tirunelveli, Tamil Nadu, India

    J. Paulraj Joseph

Authors
  1. M. Navaneethakrishnan
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  2. J. Paulraj Joseph
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Correspondence to M. Navaneethakrishnan.

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Navaneethakrishnan, M., Paulraj Joseph, J. g-closed sets in ideal topological spaces. Acta Math Hung 119, 365–371 (2008). https://doi.org/10.1007/s10474-007-7050-1

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  • DOI: https://doi.org/10.1007/s10474-007-7050-1

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