Research Article

New Separation Axiom on Ω^-closed sets.

by  M. Lellis Thivagar, M. Anbuchelvi
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 59 - Issue 3
Published: December 2012
Authors: M. Lellis Thivagar, M. Anbuchelvi
10.5120/9525-3936
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M. Lellis Thivagar, M. Anbuchelvi . New Separation Axiom on Ω^-closed sets.. International Journal of Computer Applications. 59, 3 (December 2012), 1-5. DOI=10.5120/9525-3936

                        @article{ 10.5120/9525-3936,
                        author  = { M. Lellis Thivagar,M. Anbuchelvi },
                        title   = { New Separation Axiom on Ω^-closed sets. },
                        journal = { International Journal of Computer Applications },
                        year    = { 2012 },
                        volume  = { 59 },
                        number  = { 3 },
                        pages   = { 1-5 },
                        doi     = { 10.5120/9525-3936 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2012
                        %A M. Lellis Thivagar
                        %A M. Anbuchelvi
                        %T New Separation Axiom on Ω^-closed sets.%T 
                        %J International Journal of Computer Applications
                        %V 59
                        %N 3
                        %P 1-5
                        %R 10.5120/9525-3936
                        %I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper we introduce and investigate a new separation axiom associated with Ω^-closed sets and characterize it by using Ω^-closure operator,Ω^-kernel Ω^-derived set and Ω^-shell of singletons. Also we find some of their applications.

References
  • Lellis Thivagar M, Anbuchelvi M,"Note on ^ -closed sets in topological spaces",Mathematical Theory and Modeling, Vol. 2 No. 9 (2012),50-58.
  • Levin N. (1970),"Generalised closed sets in topology" Rend. Circ. Mat. Palermo 19(2). 89-96.
  • Levin N, "Semi open stets and semi continuity in topological spaces",Amer. math. monthly 1963,70,36-41. ,
  • Sundaram. P and M. Sheik John,"Weakly closed sets and weak continuous maps in topological spaces", Proc. 82nd Indian Sci. Cong,(1995),49.
  • Velico. N. V,"H-closed topological spaces", Amer. math. soc. Trans,1968,78,103-18.
Index Terms
Computer Science
Information Sciences
No index terms available.
Keywords

Ω ^ -closed sets Ω ^ -closure Ker Ω ^ (fxg) Ω ^ -derived set Ω ^ - shell

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