ON SEPARATION AXIOMS IN TOPOLGICAL SPACES

Authors

  • Mahesh Bhat Department of Mathematics, S.D.M.College, Honnavar, Karnataka, INDIA
  • Md.Hanif PAGE Department of Mathematics, B.V. B. College of Engg. & Technology,Hubli, Karnataka INDIA

DOI:

https://doi.org/10.29121/granthaalayah.v4.i6.2016.2650

Keywords:

Sgp-Closed Set, Sgp-Open Set, Sgp-T0, Sgp-T1, Sgp-T2

Abstract [English]

The purpose of this paper is to introduce weak separation axioms via sgp-closed sets in topological spaces and study some of their properties.

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References

Mahesh Bhat, Some studies in point set topology, some more generalized open and generalized closed sets and their properties in topological spaces, Ph.D., Thesis, Karnatak University, Dharwad, 2007.

S. G. Crossely and S. K. Hilderbrand. Semi closure, Texas Jl. Sci., 22(1971), 99-112.

N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math., Monthly, 70(1963), 36-41. DOI: https://doi.org/10.1080/00029890.1963.11990039

N. Levine, Generalized closed sets in topology, Rend. Circ. Math. Palermo, 19(2) (1970), 89-96. DOI: https://doi.org/10.1007/BF02843888

A. S. Mashhour, M. E. Abd El-Monsef and Noiri. T., Strongly Compact spaces, Delta J.

Sci.8(1984), 30-46 DOI: https://doi.org/10.1093/besa/30.1.46

B. M. Munshi, separation axioms, ActaCienciaIndica 12(1986), 140-144.

GovindappaNavalagi and Mahesh Bhat, on sgp-closed sets in Topological Spaces,

Journal of Applied Mathematical Analysis and Applications, 3(1)(2007), 45-58.

GovindappaNavalagi and Md. Hanif PAGE, on some separation axioms via θgs-open

sets, Bulletin of Allahabad Mathematical Society, Vol. 25 (1), (2010), 13-22.

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Published

2016-06-30

How to Cite

Bhat, M. ., & PAGE, H. (2016). ON SEPARATION AXIOMS IN TOPOLGICAL SPACES. International Journal of Research -GRANTHAALAYAH, 4(6), 163–169. https://doi.org/10.29121/granthaalayah.v4.i6.2016.2650