Vol. 5 (06) pp. 1546-1552 DOI: 10.21474/IJAR01/4568

ON rgw⍺lc-SEPARATION AXIOMS IN TOPOLOGICAL SPACES.

and
  • Department of MathematicsBhandari and Rathi College, Guledagudd, Karnataka, India.
  • Department of MathematicsRani Channamma University Belagavi, Karnataka, India.
31 Downloads 121 Views
Crossref

Download Full Paper (PDF)

Abstract

The aim of this paper is to introduce and study two new classes of spaces, namely rgw⍺lc-𝜏0, rgw⍺lc-𝜏1, rgw⍺lc-𝜏2,rgw⍺lc-regular and rgw⍺lc-normal spaces and obtained their properties by utilizing rgw⍺lc-closed sets. Also we will present some characterizations of these spaces.

Keywords

Article Analytics

References

  1. M. Munshi, Separation axioms, Acta Ciencia Indica 12 (1986) 140?146.
  2. Dorsett, Semi normal Spaces, Kyungpook Math. J. 25 (1985) 173?180.
  3. S. John, A Study on Generalizations of Closed Sets and Continuous Maps in Topological and Bitopological spaces , Ph.D. Thesis, Bharathiar University, Coimbatore (2002).
  4. Levine, Generalized Closed sets in Topology, Rendi. Circ. Math. Palermo 19/2 (1970) 89?96.
  5. S. Wali, Vijayalaxmi R. Patil On rgw⍺-Locally closed sets in Topological Spaces (processing).
  6. S. Wali, Vijayalaxmi R. Patil On RGW⍺LC-continuous and RGW⍺LC-irresolute maps in Topological Spaces (processing).
  7. N. Maheshwar and R. Prasad, On s?normal spaces, Bull. Math. Soc. Sci. Math. R.S. Roumanie 22 (1978) 27?28.
  8. P. Arya and T.M. Nour, Characterization of s? normal spaces, Indian. J.Pure and Appl. Math., 21(8),(1990), 717?719.
  9. S. Benchalli, T.D. Rayanagoudar and P.G. Patil, g*? Pre Regular and g*?Pre Normal Spaces, Int. Math. Forum 4/48(2010) 2399?2408.
  10. Noiri and V. Popa, On g?regular spaces and some functions, Mem. Fac. Sci. Kochi Univ. Math 20 (1999)67?74.
  11. Thakur C.K Raman , Vidyottama Kumari and M.K. Sharma , α-Generalized & α*- separation Axioms for Topological Spaces , IOSR?JM, Volume 10, Issue 3 Ver. VI(2014), PP 32?36.

How to Cite This Article

R. S. Wali and Vijayalaxmi R. Patil. (2017); ON rgw⍺lc-SEPARATION AXIOMS IN TOPOLOGICAL SPACES., Int. J. of Adv. Res., 5 (06), 1546-1552, ISSN 2320-5407. DOI: https://doi.org/10.21474/IJAR01/4568

Corresponding Author

Vijayalaxmi R. Patil
Research scholar Department of mathematics Rani Channamma University, Belagavi, Karnataka,India.
Creative Commons Attribution 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.