We apologize for a recent technical issue with our email system, which temporarily affected account activations. Accounts have now been activated. Authors may proceed with paper submissions. PhDFocusTM
CFP last date
20 December 2024
Reseach Article

τ*- gλ– Closed Sets in Topological Spaces

by N. Murugavalli, A. Pushpalatha
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 125 - Number 14
Year of Publication: 2015
Authors: N. Murugavalli, A. Pushpalatha
10.5120/ijca2015906266

N. Murugavalli, A. Pushpalatha . τ*- gλ– Closed Sets in Topological Spaces. International Journal of Computer Applications. 125, 14 ( September 2015), 28-32. DOI=10.5120/ijca2015906266

@article{ 10.5120/ijca2015906266,
author = { N. Murugavalli, A. Pushpalatha },
title = { τ*- gλ– Closed Sets in Topological Spaces },
journal = { International Journal of Computer Applications },
issue_date = { September 2015 },
volume = { 125 },
number = { 14 },
month = { September },
year = { 2015 },
issn = { 0975-8887 },
pages = { 28-32 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume125/number14/22501-2015906266/ },
doi = { 10.5120/ijca2015906266 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:16:03.682650+05:30
%A N. Murugavalli
%A A. Pushpalatha
%T τ*- gλ– Closed Sets in Topological Spaces
%J International Journal of Computer Applications
%@ 0975-8887
%V 125
%N 14
%P 28-32
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, we introduce the new notions τ*- gλ– closed sets and τ*- gλ– open sets τ*- gλ– continuous maps in Topological spaces. Also we introduce a new space called T τ * - gλ - space. We study some of its properties in Topological spaces.

References
  1. Andrijevic.D, Semi-preopen sets, Mat.Vesnik, 38(1986),24-32.
  2. Andrijevic.D, On b-open sets, Mat.Vesnik ,48(1996),64-69.
  3. Arya S.P. and Nour.T, Characterizations of s-normal spaces, Indian J. Pure Appl. Math., 21 (1990), 717-719.
  4. Balachandran.K,Sundaram.P and Maki.H, On generalized continuous maps in topological Spaces, Mem. Fac.Sci. Kochi Uni.Ser A, Math.,12 (1991), 5-13.
  5. Bhattacharyya P.and Lahiri B.K., Semi generalized closed sets in topology, Indian J. Math. , 29 (1987), 375-382.
  6. Biswas, N., On characterization of semi-continuous functions, Atti. Accad. Naz. Lincei Rend, Cl. Sci. Fis. Mat. Natur., (8) 48(1970), 399-402.
  7. Dontchev.J, On generalizing semipreopen sets, Mem. Fac. Sci. Kochi Uni.Ser A, Math.,16 (1995), 35-48.
  8. Dunham W, A new closure operator for non-T1 topologies, Kyungpook Math.J. 22 (1982), 55-60
  9. Levine N , Generalized closed sets in topology, Rend.Circ. Mat.Palermo, 19, (2) (1970), 89-96.
  10. Levine N, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly; 70 (1963), 36 – 41
  11. Maheshwari S.N. and P.C.Jain, Some new mappings, Mathematica, Vol.24 (47) (1-2) (1982) , 53-55.
  12. Maki H.,Devi R and Balachandran.K,, Assiciated topologies of generalized α-closed sets and α-generalized closed sets, Mem. Fac. Sci. Kochi Univ.(Math.) 15(1994),51-63.
  13. Maki H.,Devi R and Balachandran.K, Generalized α-closed sets in topology, Bull . Fukuoka Uni.. Ed. Part III, 42 (1993), 13-21.
  14. Mashhour A .S M.E.Abd El-Monsef and S.N.El-Deeb ,On precontinuous and weak precontinuous functions, Proc. Math. Phys. Soc. Egypt 53 (1982), 47-53.
  15. Murugavalli.N and Pushpalatha. A, “Strongly g*α- closed sets in Topological Spaces” Proceedings of NCMSA 2013,organized by Karunya University , Coimbatore.
  16. Navalagi G.B., “Definition Bank in General Topology” in Topology Atlas
  17. Njastad, O., On some classes of nearly open sets, Pacific J.Math., 15(1965), 961-970.
  18. Pushpalatha A., Eswaran.S and Rajarubi.P, τ *-generalized closed sets in topological spaces, Proceedings of World Congress on Engineering 2009 Vol II WCE 2009, July 1 – 3, 2009, London, U.K., 1115 – 1117
  19. Sundaram P, Pushpalatha.A, Strongly generalized closed sets in topological spaces, Far East J. Math. Sci.(FJMS) 3(4) (2001), 563-575
  20. Veera Kumar. M.K.R.S ., On g ̂-closed sets in topological spaces
  21. Veera Kumar. M.K.R.S., g ̂-closed sets and GL ̂C-functions, Indian J.Math.,43(2)(2001), 231-247.
Index Terms

Computer Science
Information Sciences

Keywords

τ*- gλ– closed sets τ*- gλ– open sets τ*- gλ– continuous maps T τ * - gλ - space