Local Closure Functions in Hereditary Generalized Topological Spaces

Authors

  • R. Ramesh Department of Science and Humanities, Dr. Mahalingam College of Engineering and Technology, Pollachi, Tamil Nadu
  • Krishna Prakash Department of Science and Humanities, Karpagam College of Engineering, Coimbatore, Tamil Nadu
  • N. Anbumani Department of Science and Humanities, Tagore Institute of Engineering and Technology, Attur, Salem 636112, Tamil Nadu

DOI:

https://doi.org/10.26713/jims.v10i1-2.714

Keywords:

Generalized topology, Hereditary generalized topological spaces, Local closure function

Abstract

In this paper, we introduce and study the notions of local closure functions and also we introduce the operator \(\Psi_\Gamma\) in hereditary generalized topological spaces.

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References

A. Csaszar, Generalized topology, generalized continuity, Acta Math. Hungar. 96 (4) (2002), 351 – 357.

A. Csaszar, Modifications of generalized topologies via hereditary classes, Acta Math. Hungar. 115 (2007), 29 – 36.

A. Csaszar, ± and µ-modifications of generalized topologies, Acta Math. Hungar. 106 (2008), 275 – 279.

M. Rajamani, V. Indhumathi and S. Krishnaprakash, Some stronger local functions via ideals, J. Adv. Res. Pure Math. 2 (2010), 48 – 52.

M. Rajamani, V. Indhumathi and R. Ramesh, Some new generalized topologies via hereditary classes, Bol. Soc. Paran. Mat. 30 (2) (2012), 71 – 77.

V. Renukadevi and P. Vimaladevi, Compatible hereditary classes in generalized topological spaces, Acta Math. Hungar. 147 (2) (2015), 259 – 271.

B. Roy, On a type of generalized open sets, Applied General Topology 12(2) (2011), 163 – 173.

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Published

2018-08-09
CITATION

How to Cite

Ramesh, R., Prakash, K., & Anbumani, N. (2018). Local Closure Functions in Hereditary Generalized Topological Spaces. Journal of Informatics and Mathematical Sciences, 10(1-2), 173–179. https://doi.org/10.26713/jims.v10i1-2.714

Issue

Vol. 10 No. 1-2 (2018)

Section

Research Articles

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