Research Article

Some Applications of ??-P-Open Sets

by  M.Parimala, R.Devi
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 5 - Issue 1
Published: August 2010
Authors: M.Parimala, R.Devi
10.5120/886-1258
PDF

M.Parimala, R.Devi . Some Applications of ??-P-Open Sets. International Journal of Computer Applications. 5, 1 (August 2010), 6-12. DOI=10.5120/886-1258

                        @article{ 10.5120/886-1258,
                        author  = { M.Parimala,R.Devi },
                        title   = { Some Applications of ??-P-Open Sets },
                        journal = { International Journal of Computer Applications },
                        year    = { 2010 },
                        volume  = { 5 },
                        number  = { 1 },
                        pages   = { 6-12 },
                        doi     = { 10.5120/886-1258 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2010
                        %A M.Parimala
                        %A R.Devi
                        %T Some Applications of ??-P-Open Sets%T 
                        %J International Journal of Computer Applications
                        %V 5
                        %N 1
                        %P 6-12
                        %R 10.5120/886-1258
                        %I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper we introduce some new separation axioms by utilizing the notions of αψ-p-open sets and αψ-preclosure operator.

References
  • P. Bhattacharya and B.K.Lahiri, Semi-generalized closed sets in topology, Indian J. Math., 29(3)(1987) 375-382.
  • M. Caldas, A separation axiom between pre-T0 and pre-T1 , East West J. Math., 3(2)(2001), 171-177.
  • M. Caldas, T. Fukutake, S. Jafari and T. Noiri, Some applications of δ- preopen sets in topological spaces, Bull. Inst. Math. Acad. Sinica, Vol.33 No. 3 (2005), 261-276.
  • R. Devi, A. Selvakumar and M. Parimala, αψ-closed sets in topological spaces (submitted).
  • S. Jafari, On a weak separation axiom, Far East J. Math. Sci., 3(5)(2001), 779-787.
  • S. Jafari, Pre-rarely-p-continuous functions, Far East J. Math. Sci. (FJMS) Special Vol. (2000), Part I (Geometry and Topology), 87-96.
  • S. Jafari, On certain types of notions via preopen sets, Tamkang J. Math. 37(4)(2006), 391-398.
  • A. Kar and P. Bhattacharyya, Some weak separation axioms, Bull. Calcutta Math. Soc., 82(1990), 415-422.
  • N.Levine, semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70(1963), 36-41.
  • A.S. Mashhour, M.E. Abd El-Monsef and S.N. El-Deeb, On pre continuous and weak pre continuous mappings, Proc. Math. Phys. Soc., Egypt, 53 (1982), 47-53.
  • O.Njastad, On some classes of nearly open sets, Pacific J. Math., 15(1965), 961- 970.
  • T. Noiri, Super-continuity and some strong forms of continuity, Indian J.Pure Appl. Math., 15 (1984), 17-22.
  • T.M.J. Nour, Contributions to the theory of bitopological spaces, Ph.D. The- sis, Univ. of Delhi, 1989.
  • S. Raychaudhuri and M.N. Mukherjee, On δ-almost continuity and δ-preopen sets, Bull. Inst. Math. Acad. Sinica, 21(1993), 357-366.
  • M.K.R.S. Veera kumar, Between semi-closed sets and semi-pre-closed sets, Rend. Istit. Mat. Univ. Trieste XXXII, (2000), 25-41.
  • N.V. Velicko, H -closed topological spaces, Amer. Math. Soc. Transl., 78 (1968), 103-118.
  • S. Willard, General Topology, Addison - Wesley, Reading, Mass, USA (1970).
Index Terms
Computer Science
Information Sciences
No index terms available.
Keywords

αψ-p-open sober (αψ p)-R0 D(αψ p) -set (αψ p)-D0 (αψ p)-D1 (αψ p)-D2

Powered by PhDFocusTM