On \(\tilde{\mu}\)-open sets in generalized topological spaces

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DOI:

https://doi.org/10.26637/mjm303/005

Abstract

In this paper, we introduce the notion of \(\tilde{\mu}\)-open sets in generalized topological spaces. Further, we introduce the notions of interior, closure, boundary, exterior and study some of their properties. In addition, we introduce the concepts of \(\tilde{\mu}-T_i\left(i=0, \frac{1}{2}, 1,2\right)\) spaces are characterized them using \(\tilde{\mu}\)-open and \(\tilde{\mu}\)-closed sets.

Keywords:

$\tilde{\mu}$-closed, \(\tilde{\mu}\)-open, \(\tilde{\mu}\)-closed

Mathematics Subject Classification:

34G20
  • D. Saravanakumar Department of Mathematics, SNS College of Engineering, Coimbatore, India.
  • N. Kalaivani Department of Mathematics, Vel Tech High Tech Dr. Rangarajan Dr. Sakunthala Engineering College, Chennai, India.
  • G. Sai Sundara Krishnan Department of Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore, India.
  • Pages: 268-276
  • Date Published: 01-07-2015
  • Vol. 3 No. 03 (2015): Malaya Journal of Matematik (MJM)

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Published

01-07-2015

How to Cite

D. Saravanakumar, N. Kalaivani, and G. Sai Sundara Krishnan. “On \(\tilde{\mu}\)-Open Sets in Generalized Topological Spaces”. Malaya Journal of Matematik, vol. 3, no. 03, July 2015, pp. 268-76, doi:10.26637/mjm303/005.

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Vol. 3 No. 03 (2015): Malaya Journal of Matematik (MJM)

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Copyright (c) 2015 MJM

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

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