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Reseach Article

(i,j) - r^g Closed Sets in Bitopological Spaces

by C. Janaki, D. Savithiri
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 78 - Number 7
Year of Publication: 2013
Authors: C. Janaki, D. Savithiri
10.5120/13503-1252

C. Janaki, D. Savithiri . (i,j) - r^g Closed Sets in Bitopological Spaces. International Journal of Computer Applications. 78, 7 ( September 2013), 31-37. DOI=10.5120/13503-1252

@article{ 10.5120/13503-1252,
author = { C. Janaki, D. Savithiri },
title = { (i,j) - r^g Closed Sets in Bitopological Spaces },
journal = { International Journal of Computer Applications },
issue_date = { September 2013 },
volume = { 78 },
number = { 7 },
month = { September },
year = { 2013 },
issn = { 0975-8887 },
pages = { 31-37 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume78/number7/13503-1252/ },
doi = { 10.5120/13503-1252 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:51:00.691297+05:30
%A C. Janaki
%A D. Savithiri
%T (i,j) - r^g Closed Sets in Bitopological Spaces
%J International Journal of Computer Applications
%@ 0975-8887
%V 78
%N 7
%P 31-37
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The aim of this paper is to introduce a new class of sets called (i,j) - r^g closed sets and a new class of maps called D^(i,j) continuous maps and D^(i,j)- irresolute maps in bitopological spaces. Also we introduce some new spaces called (i,j) – T^1/2 , (i,j) - ^T 1/2 ,*T^1/2, ^T*1/2 and ^Trg and obtain their basic properties.

References
  1. Arockiarani, Studies on generalizations of generalized closed sets and maps in topological spaces, Ph. D. , thesis, Bharathiar Univ. , Coimbatore, 1997.
  2. T. Fututake On generalized closed sets in bitopological spaces, Fukuka Univ. Ed. Part III 35(1985) 19-28.
  3. T. Fututake, P. Sundaram and Sheik John , Bull. Fukuoka Univ. Ed. Part III 51 (2002), 1-9.
  4. 4. Y. Gnanambal, On Generalized pre-regular closed sets in topological spaces, Indian J. Pure. App. Math, 28(1997), 351-360.
  5. Kelly. J. C, Bitopological spaces, proceedings, London, Math. Soc. , Vol. 13, pp-71-89, 1983.
  6. N. Levine, semi open sets and semi-continuity in topological spaces, Amer. Math. Monthly,70(1963),36-41.
  7. N. Levine, Generalized closed sets in topology, Rend. Circ Mat. Palermo,19(2)(1970), 89-96.
  8. H. Maki, J. Umehara and T. Noiri, Every topological space is pre-T1/2 ,Mem. Fac. Sci. Kochi univ. Ser. A. Math. ,17(1996),33-42.
  9. N. Palaniappan & K. C. Rao, Regular generalized closed sets, KyungpookMath. 3(2)(1993),211
  10. M. Sheik John and P. Sundaram, g*-closed sets in bitopological Spaces, Indian Jour. Of Pure appl. Math. ,35(1):71-80,January 2004.
  11. M. Stone, Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc,41(1937),374-481.
  12. M. K. R. S. Veera Kumar, Between closed sets and g closed sets, Mem. Fac. Sci Kochi Univ. (math) , 21(2000), 1-19.
Index Terms

Computer Science
Information Sciences

Keywords

(i j) - r^g closed sets (i j) - r^g open sets (i j)-T^1/2 (i j) - ^T1/2 (i j) - *T^1/2 (i j)- ^T*1/2 ^Trg spaces D^(i j)- continuity.