A Weaker Form of Urysohn Spaces

N. Nagaveni; D. Sheeba

doi:https://doi.org/10.14445/22315373/IJMTT-V41P518

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 41 | Number 2 | Year 2017 | Article Id. IJMTT-V41P518 | DOI : https://doi.org/10.14445/22315373/IJMTT-V41P518

A Weaker Form of Urysohn Spaces

N. Nagaveni, D. Sheeba

Abstract

The purpose of this paper is to introduce a new type of spaces called, weakly generalized Urysohn spaces and discussed some of its basic properties. Also, the conditions for a weakly generalized Urysohn space becomes Urysohn space and g-Urysohn space have been analysed.

Keywords

Urysohn space, g- Urysohn space, weakly generalized Urysohn space and weakly generalized Haussdroff space.

References

[1]. K. Balachandran, P. Sundaram and H. Maki, “On generalized continuous maps intopological spaces”, Mem. Fac. Sci. Kochi Univ. Math.12(1991) 5 -13.
[2]. S. Balasubramanian, “On g- Separation axioms”, Asian Journal of current Engg. & Math. 1:1(2012), 9 -14.
[3]. C. Dorsett, “Generalized Urysohn spaces”, Revistacolombiana de mate- Maticas, volxxii, (1988) 149 -160.
[4]. J. Dontchev and M. Ganster, “More on Semi- Urysohnspaces”, Bull. Malaysian Math.Sc. Soc. (second series)25 (2002), 129 – 136.
[5]. N. Levine, “Generalized closed sets in topology”,Rend.Circ.Mat. Palermo, 19(2) (1970),89 - 96.
[6]. N. Nagaveni and P. Sundaram “On weakly generalized continuous maps, weaklygeneralized closed maps andweakly generalized irresolute maps in topological spaces”, Far. East J. Math. Sci. 6(6)(1998), 903-912.
[7]. G. Navalagi, “some more properties of Pre Urysohnspace”, Int. J. Engg. Comp. Sci. andMath.2:1(2011) 43- 47.
[8]. R. Paul and P. Bhattacharyya, “On Pre-Urysohn spaces”,Bull. Malaysian Math. Sci.Soc.(2) 22 (1999), 23 – 34.
[9]. D. A. Rose, “Weak continuity and strongly closed sets”, Int.J. Math. and Math. Sci. 7: 4 (1984) 809 -816.
[10]. S. I. Mahmood and A. M Ebrahem, “S*separationAxioms”, Iraqi. J. Sci.51: 1 (2010) 145-15.
[11]. D. Sheeba and N. Nagaveni, “Study on some topological generalized closed graphs”,(Submitted).

Citation :

N. Nagaveni, D. Sheeba, "A Weaker Form of Urysohn Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 41, no. 2, pp. 191-194, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V41P518