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 November 2024
Call for Paper
December Edition
IJCA solicits high quality original research papers for the upcoming December edition of the journal. The last date of research paper submission is 20 November 2024

Submit your paper
Know more
The week's pick
Responsive image
Improved Shuffled Frog Leaping Algorithm with Self-Adaptive Shuffling for Fuzzy Logic PD+G Controller Optimization in Robotic Manipulators

Duc Hoang Nguyen
Random Articles
Reseach Article

τ-Generalized Homeomorphism in Topological Spaces

by S. Eswaran, N. Nagaveni
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 40 - Number 1
Year of Publication: 2012
Authors: S. Eswaran, N. Nagaveni
10.5120/4924-7151

S. Eswaran, N. Nagaveni . τ-Generalized Homeomorphism in Topological Spaces. International Journal of Computer Applications. 40, 1 ( February 2012), 38-42. DOI=10.5120/4924-7151

@article{ 10.5120/4924-7151,
author = { S. Eswaran, N. Nagaveni },
title = { τ-Generalized Homeomorphism in Topological Spaces },
journal = { International Journal of Computer Applications },
issue_date = { February 2012 },
volume = { 40 },
number = { 1 },
month = { February },
year = { 2012 },
issn = { 0975-8887 },
pages = { 38-42 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume40/number1/4924-7151/ },
doi = { 10.5120/4924-7151 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:26:58.771060+05:30
%A S. Eswaran
%A N. Nagaveni
%T τ-Generalized Homeomorphism in Topological Spaces
%J International Journal of Computer Applications
%@ 0975-8887
%V 40
%N 1
%P 38-42
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

A.Pushpalatha et al [11] introduced the concept of τ-g-closed set in topological spaces. S.Eswaran and A.Pushpalatha [6] introduced and studied the properties of τ-generalized continuous maps and τ-gc-irresolute maps in topological spaces. In this paper, we introduce and study a new class of maps called τ-generalized open maps and the notion of τ-generalized homeomorphism and τ-gc- homeomorphism in topological spaces.

References
  1. Balachandran. K., Sundaram. P. and Maki. J On generalized continuous maps in topological spaces, Mem. Fac. Sci. Kochi Univ. (Math.), 12 (1991), 5-13.
  2. Biswas.N ,Some mappings in topological spaces, Bull.Cal.Math. Soc. 61 (1969), 127-135.
  3. Cammaroto.F. and Noiri.T, Almost irresolute functions, Indian J Pure Appl.Math.20(5),472-82,may(1989).
  4. Devi.R, Balachandran.K. and.Maki. H, Semi-generalized homeomorphisms and generalized semi homeomorphism in topological spaces, Indian J Pure Appl.Math.,26(3)(1995) ,271-284.
  5. Dunham.W, A new closure operator for non-T topologies, Kyungpook Math. J., 22 (1982), 55 - 60.
  6. Eswaran.S and Pushpalatha.A., τ-generalized continuous maps in topological spaces, International J. of Math Sci & Engg. Appls. (IJMSEA) ISSN 0973-9424 Vol. 3, No. IV, (2009), pp. 67 – 76
  7. Levine. N, Generalized closed sets in topology, Rend.Circ. Mat.Palermo, 19, (2) (1970) , 89-96.
  8. Maki.H., Sundaram.P. and Balachandran..K, On generalized homeomorphisms in topological spaces, Bull.Fukuoka Univ.Ed.III 40 (1991) 13-21.
  9. Mashhour.A..S., Abd.M.E. El-Monsef and El-Deeb.S.N., On precontinuous and weak precontinuous functions,Proc. Math. Phys. Soc.Egypt 53(1982),47-53.
  10. Mashhour.A.S, Hasanein.I.A. and El-Deeb.S.N., On t-continuous and t- open mappings, Acta. Math.Hunga.41(1983),213-218.
  11. 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
  12. Pushpalatha. A and Eswaran.S, Strong forms of τ-generalized continuous maps in topological spaces, Int. J. Contemp. Math. Sciences, Vol. 5, 2010, no. 17, 815 - 822,
  13. Sundaram.P, Maki.H and Balachandran.K, sg-closed sets and semi-T1/2spaces, Bull.Fukuoka Univ.Ed.Part III, 40(1991),33-40.
  14. Thivagar.M.L., Generalization of pairwise t-continuous functions, Pure and Applied Mathematika Sciences, Vol.XXXIII ,No.1-2 , March (1991) ,55-63.
  15. semitopological properties, Fund.Math. 74(1972), 233-54.
Index Terms

Computer Science
Information Sciences

Keywords

τ-g-open map τ-g-homeomorphism τ-gc-homeomorphisms

Powered by PhDFocusTM