Ig-CLOSED SETS IN IDEAL TOPOLOGICAL SPACES

Authors

  • S. Ganesan Assistant Professor, PG & Research Department of Mathematics, Raja Doraisingam Government Arts College, Sivagangai-630561, Tamil Nadu, India.
  • C. lexander Assistant Professor, PG & Research Department of Mathematics, Raja Doraisingam Government Arts College, Sivagangai-630561, Tamil Nadu, India.
  • A. Aishwarya Scholar, PG & Research Department of Mathematics, Raja Doraisingam Government Arts College, Sivagangai-630561, Tamil Nadu, India
  • M. Sugapriya Scholar, PG & Research Department of Mathematics, Raja Doraisingam Government Arts College, Sivagangai-630561, Tamil Nadu, India

Keywords:

compact space, closed sets

Abstract

Characterizations and properties of τg-closed sets and τg-open sets are given. A characterization of normal spaces is given in terms of τg-open sets. Also, it is established that an τg-closed subset of an τ-compact space is τ-compact. We introduced the concepts of sg -τ-locally closed sets, sg-sets, and ٨sg-τ-closed sets. We introduced τg-continuous,
τg-irresolute, sg-τ-LC-continuous, ζsɘ-τ-continuous and to obtain decompositions of ζ-continuity in ideal topological spaces.

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Published

2020-12-31

How to Cite

Ganesan, S., lexander, C., Aishwarya , A., & Sugapriya, M. . (2020). Ig-CLOSED SETS IN IDEAL TOPOLOGICAL SPACES. MathLAB Journal, 7, 68-85. Retrieved from https://purkh.com/index.php/mathlab/article/view/803

Issue

Vol. 7 (2020)

Section

Research Articles

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Copyright (c) 2020 Ganesan Selvaraj, A. Aishwarya, S. Ganesan, and M. Sugapriya

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This work is licensed under a Creative Commons Attribution 4.0 International License.