Research Article

On Generalized D-Closed Set

by  H. Jude Immaculate, I. Arockiarani
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 89 - Issue 18
Published: March 2014
Authors: H. Jude Immaculate, I. Arockiarani
10.5120/15730-4530
PDF

H. Jude Immaculate, I. Arockiarani . On Generalized D-Closed Set. International Journal of Computer Applications. 89, 18 (March 2014), 12-17. DOI=10.5120/15730-4530

                        @article{ 10.5120/15730-4530,
                        author  = { H. Jude Immaculate,I. Arockiarani },
                        title   = { On Generalized D-Closed Set },
                        journal = { International Journal of Computer Applications },
                        year    = { 2014 },
                        volume  = { 89 },
                        number  = { 18 },
                        pages   = { 12-17 },
                        doi     = { 10.5120/15730-4530 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2014
                        %A H. Jude Immaculate
                        %A I. Arockiarani
                        %T On Generalized D-Closed Set%T 
                        %J International Journal of Computer Applications
                        %V 89
                        %N 18
                        %P 12-17
                        %R 10.5120/15730-4530
                        %I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper we present a new class of sets and functions namely gd-closed sets, gd-irresolute functions in the light of d-open sets in topological spaces. Further some of their characterizations are investigated with counter examples.

References
  • D. Andrijevic, "Semi-preopen sets", Mat. Vesnik,38(1) (1986) 24-32.
  • D. Andrijevic, "On b-open sets", Mat Vesnik 48(1996), no 1-2, 59-64.
  • S. P. Arya and T. M. Nour, "Characterizations of S-normal spaces", Indian J. Pure. Appl. Math. 21(1990). no. 8, 717-719.
  • M. E. Abd. El-Monsef, S. N El-Deeb and R. A Mohmoud,'?-open sets and ?-continuous mapping", Bull. Fac. Sci. Assuit Univ. 12(1983),77-90.
  • P. Bhattacharyya and B. K. Lahiri,"Semigeneralized closed sets in topology", Indian
  • . J. Math. 29(1987)no. 3, 375-382(1988)
  • M. C. Cueva, "On g-closed sets and g-continuous mappings:,Kyungpook Math. J. vol3,2(1993), 205-209.
  • R. Devi, K. Balachandran and I. Maki, Generalized ?-closed maps and ?-generalized closed maps. Indian J. Pure. Appl. Math. ,29(1)(1998),37-49.
  • J. Dontchev, "On generalizing semi-preopen sets", Mem. Fac. Sci. Kochi. Univ. Ser. A. Math. 16(1995), 35-48.
  • Gnanambal. Y
  • On generalized pre-regular closed sets in topological spaces. India. J. pure Appl. Math. 28(3):351-360.
  • Jude Immaculate. H and I. Arockiarani," A note on d-locally closed sets", International Journal of Mathematical Archive (2014)(Feb)(Accepted ).
  • N. Levine, "Semi-open sets and semi-continuity in topological spaces", Amer. Math. Monthly 70(1963), 36-41
  • N. Levine, "Generalized closed set in topology", Rend. Circ. Math. Palermo, 19(2), (1970), 489-96.
  • H. Maki, R. Devi and K. Balachandran,, "Associated topologies of generalized ?-closed sets and ?-generalized closed set",Mem. Fac. Sci. Kochi. Univ. Ser. A. Math 15(1994), 51-63.
  • H. Maki, J. Umerhara and T. Noiri, "Every topological space is preT_(1/2)",Mem. Fac. Sci. Kochi. Univ. Ser. A. Math 17(1996)33-42.
  • A. S. Mashhour, Abd El-Monsef, M. E. and S. N. El-Deeb, "On precontinuous and weak precontinuous functions", Proc. Math. Phys. Soc. Egypt 51(1982), 47-53.
  • T. Noiri, A. Al-Omari and M. S. M. Noorani, "Weakly b-open functions", Mathematica Belkanica 23(2009),Fasc(1-2)1-14
  • O. Njastad," On some classes of nearly open sets", Pacific J. Math 15(1965)961-970.
  • Palaniappan. N and K. C. Rao(1993) Regular generalized closed sets. Kyungpook Math. J 33:211- 219.
  • S. Willard,"General topology spaces", Addison Wesley,1970.
Index Terms
Computer Science
Information Sciences
No index terms available.
Keywords

gd-closed sets gd-continuous functions gd-irresolute functions.

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