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(I, j) - Rw Closed Sets in Bitopological Spaces

by M. Karpagadevi, A. Pushpalatha
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 47 - Number 6
Year of Publication: 2012
Authors: M. Karpagadevi, A. Pushpalatha
10.5120/7195-9962

M. Karpagadevi, A. Pushpalatha . (I, j) - Rw Closed Sets in Bitopological Spaces. International Journal of Computer Applications. 47, 6 ( June 2012), 32-37. DOI=10.5120/7195-9962

@article{ 10.5120/7195-9962,
author = { M. Karpagadevi, A. Pushpalatha },
title = { (I, j) - Rw Closed Sets in Bitopological Spaces },
journal = { International Journal of Computer Applications },
issue_date = { June 2012 },
volume = { 47 },
number = { 6 },
month = { June },
year = { 2012 },
issn = { 0975-8887 },
pages = { 32-37 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume47/number6/7195-9962/ },
doi = { 10.5120/7195-9962 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:41:13.200645+05:30
%A M. Karpagadevi
%A A. Pushpalatha
%T (I, j) - Rw Closed Sets in Bitopological Spaces
%J International Journal of Computer Applications
%@ 0975-8887
%V 47
%N 6
%P 32-37
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper we introduce and study the concept of a new class of closed set called (i, j)-regular weakly closed set (briefly (i,j) - rw closed set) in bitopological spaces and discuss some of their properties in bitopological spaces.

References
  1. Abd El-Monsef . M. E. , El-Deeb. S. N and Mahmoud. R. A. , ? – open sets and ? – continuous mappings, Bul. Fac. Sci. Assisut Univ. 12(1983),77-90
  2. Andrijevic. D, Semi-preopen sets,Mat. Vesnik 38(1986),24-32
  3. Arockiarani. I, Studies on generalizations of generalized closed sets and maps in topological spaces, Ph. D. , Thesis, Bharathiar Univ. , Coimbatore,1997.
  4. Arya, S. P and Nour. T. M. , Quasi Semi-components in bitopological spaces, Indian J. Pure Appl. Math. , 21(1990), 649-652.
  5. Arya, S. P and Nour. T. M. , Separation axioms for bitopological spaces, Indian J. Pure Appl. Math. , 19(1998), 42-50.
  6. Benchalli. S. S and Wali. R. S. , On R?-closed sets in topological spaces, Bull. Malays. math. Sci. Soc(2) 30(2) (2007), 99-110.
  7. Bhattacharyya, P. and Lahiri, B. K. , Semi-generalized closed sets in topology, Indian J. Math. , 29(1987), 376-382.
  8. Bose. S. , Sinha. D. , Almost open, almost closed, ?-continuous and almost compact mappings in bitopological spaces. Bull. Calcutta Math. Soc. 73(1981), 345-354.
  9. Crossley. S. G and Hildebrand. S. K, Semi-closure, Texas J. Sci. 22(1971),99-112.
  10. El-Tantawy. O. A and Abu-Donia. H. M, Generalized Separation Axioms in Bitopological Spaces, The Arabian ? for Science and Engg. Vol. 30,N0. 1A,117-129(2005)
  11. Fukutake, T. , On generalized closed sets in bitopological spaces, Bull. Fukuoka Univ. Ed. Part III, 35(1986), 19-28.
  12. Futake, T. , Sundaram, P. , and Nagaveni, N. , On weakly generalized closed sets, weakly generalized continuous maps and Twg spaces in bitopological spaces, Bull. Fukuoka Univ. Ed. Part III, 48(1999), 33-40.
  13. Futake, T. , Sundaram, P. , and SheikJohn. M. , 2002, ?-closed sets, ?-open sets and ?-continuity in bitopological spaces Bull. Fukuoka Univ. Ed. Vol. 51. Part III 1-9.
  14. Jelic. M. , A decomposition of pairwise continuity, J. Inst. Math. Comp. Sci. ,3,25-29(1990).
  15. Jelic. M. , Feebly p-continuous mappings. V International Meeting on Topology in Italy (Itaian) (Lecce,1990/Otranto,1990). Rend. Circ. Mat. Palermo(2) Suppl. No. 24(1990),387-395.
  16. Kelly, J. C. , Bitopological spaces, Proc. London Math. Soc. 13(1963), 71-89.
  17. Maheswari, S. N. , and Prasad, R. , Semi open sets and semi continuous functions in bitopological spaces. Math Notae, 26, (1977/78),29-37.
  18. Maki, H. , Devi, R. , and Balachandran, K. , Associated topologies of generalized ?-closed sets, mem. Fac. Sci. Kochiuniv. Ser. A. math. , 15(1994), 51-63.
  19. Maki, H. , Devi, R. , and Balachandran, K. , generalized ?-closed sets in topology, Bull. Fukuoka Univ. Ed. Part III, 42 (1993) 13-21.
  20. Maki. H, Umehara. J and Noiri. T, Every Topological space is pre-T1/2 , Mem. Fac. Sci. Kochi Univ. Ser. A. Math. 17(1996),33-42
  21. Mashhour. A. S. , Hasanein. I. A and El-Deeb. S. N. ,?- open mappings,Acta. Math. Hungar. 41(1983),213-218.
  22. Mashhour. A. S. , Abd El-Monsef . M. E. and El-Deeb. S. N. On pre continuous mappings and week pre-continuous mappings,Proc Math, Phys. Soc. Egypt 53(1982),47-53.
  23. Nagaveni. N. , Studies on Generalizations of Homeorphisms in Topological Spaces,Ph. D. Thesis, Bharathiar University, Coimbatore, 1999.
  24. Park, J. K. , and Park, J. H. , Mildly generalized closed sets, almost normal and miklly. Chaos, Solitons and Fractals 20(2004), 1103-1111.
  25. Patty, C. W. , Bitopological spaces, Dukemath. J. 34(1967), 387-392.
  26. Pushpalatha, A. , Studies on generalizations of mappings in topological spaces, Ph. D. , Thesis, Bharathiar University, Coimbatore – 2000.
  27. Rajamani, M. and Viswanathan, K. , On ?gs-closed sets in bitopological spaces, Bull. Pure and applied Sciences. Vol. 24E (No. 1) 2005: P. 39-53.
  28. SheikJohn, M. and Sundaram, P. , g*-closed sets in bitopological spaces, Indian J. Pure. Appl. Math. , 35(1), 71-80(2004).
  29. Stone. M. , Application of the Theory of Boolean rings to general Topology, Trans. Amer. Math. Soc. 41(1937),374-481
  30. Sundaram, P. and SheikJohn. M. , ON ?-closed sets in topology, Acta ciencia Indica 4(2000), 389-392.
  31. Veerakumar M. K. R. S. , g*-preclosed sets in Topology. Acta Ciencia Indica,XXVIII(1):51:60,2002.
  32. Veerakumar M. K. R. S. , Between closed sets and g-closed sets, Mem. Fac. Sci. Kochiuniv. (Math). 21(2000),1-19.
Index Terms

Computer Science
Information Sciences

Keywords

(i J) - Rw Closed Sets

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