Remarks on rg-closure, gpr-closure operators and gpr-separation axioms
1Department of Mathematics, Aditanar College, Tiruchendur – 628216 (INDIA)
2Department of Mathematics, Karunya University, Coimbatore-641 114 (INDIA)
Email: pgchandra07@rediffmail.com
Recently Jin Han Park8,9 et.al.[Further results on rg-continuity, Far East J. Math.Soc.2000 special volume part 11, 237-244 and On preserving rg-closed sets, East Asian Math.J.16(1) (2000),125-133] studied rg-continuity and some preservation theorems using rg-closure operator and Gnanambal et.al.[On gpr-continuous functions in topological spaces, Indian J.Pure.appl.Math.,30(6)(1999), 581-593] discussed gpr-continuous functions using gpr-closure operator. Quite Recently Balasubramanian4 et.al.[gpr-separation axioms-I, IJMA, 2(10) (2011), 2055-2067] discussed several types of gpr-separation axioms. The purpose of this paper is to investigate some properties of rg-closure operator, gpr-closure operator and gpr-separation axioms. The most important result that is proved in this paper is “ In a topological space every singleton set is rg-open” that leads to the investigation of some of the results due to Jin Han Park et. al. Gnanambal et. al. and separation axioms due to Balasubramanian et. al.
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P. GNANACHANDRA1 and P. THANGAVELU2, "Remarks on rg-closure, gpr-closure operators and gpr-separation axioms", Journal of Ultra Scientist of Physical Sciences, Volume 24, Issue 1, Page Number , 2016Copy the following to cite this URL:
P. GNANACHANDRA1 and P. THANGAVELU2, "Remarks on rg-closure, gpr-closure operators and gpr-separation axioms", Journal of Ultra Scientist of Physical Sciences, Volume 24, Issue 1, Page Number , 2016Available from: https://www.ultrascientist.org/paper/469/
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