Research Article

RgI-Closed Sets in Ideal Topological Spaces

by  Nirmala Rebecca Paul
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 69 - Issue 4
Published: May 2013
Authors: Nirmala Rebecca Paul
10.5120/11831-7542
PDF

Nirmala Rebecca Paul . RgI-Closed Sets in Ideal Topological Spaces. International Journal of Computer Applications. 69, 4 (May 2013), 23-27. DOI=10.5120/11831-7542

                        @article{ 10.5120/11831-7542,
                        author  = { Nirmala Rebecca Paul },
                        title   = { RgI-Closed Sets in Ideal Topological Spaces },
                        journal = { International Journal of Computer Applications },
                        year    = { 2013 },
                        volume  = { 69 },
                        number  = { 4 },
                        pages   = { 23-27 },
                        doi     = { 10.5120/11831-7542 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2013
                        %A Nirmala Rebecca Paul
                        %T RgI-Closed Sets in Ideal Topological Spaces%T 
                        %J International Journal of Computer Applications
                        %V 69
                        %N 4
                        %P 23-27
                        %R 10.5120/11831-7542
                        %I Foundation of Computer Science (FCS), NY, USA
Abstract

The paper introduces a new generalized closed set via semi local function. Its relationship with other existing generalized closed sets are established. It's basic properties are discussed. A new decomposition of continuity is derived.

References
  • Antony Rex Rodrigo J,Ravi O and Nalininirmalatha A, -closed sets in ideal topological spaces. Methods of functional Analysis and Topology, Vol. 17(2011) no3,274-280. Reasoning about naming systems. .
  • Jankovic D and Hamlet T. R,New topologies from old via ideals, Amer. Math. Monthly,97(1990),295-310.
  • Khan M and Noiri T, Semi-local function in ideal topological spaces, J. Adv. Res. Pure Math. ,2010,2(1),36-42.
  • Khan M and Noiri T, On gI-closed sets in ideal topological spaces, Journal of Advanced Studies in Topology, Vol. 11(2010),29-33.
  • Kuratowski K, Topology, Vol I, Academic Press, New York,1966.
  • Levine N, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly,(1963)(70),36-41.
  • Navaneethakrishnan M and Pauraj Joseph J, g-closed sets in ideal topological spaces, Acta Math Hungar, 119(4),(2008),365-371.
  • Navaneethakrishnan M and Sivaraj D, Regular generalized closed sets in ideal topological spaces, Journal of Advanced Research in Pure Mathematics, Vol. 2 issue 3(2010),24-33.
  • Njastad O,On some classes of nearly open sets, Pacific J. Math. , 15(1965),961-970.
Index Terms
Computer Science
Information Sciences
No index terms available.
Keywords

rgI-closed rgI-open and rgI-continuous function

Powered by PhDFocusTM