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OPERATIONS GENERALIZED MAPPINGS ASSOCIATED WITH °¤p-NORMAL AND °¤p-REGULAR SPACES

D. SARAVANAKUMAR|G. SAI SUNDARA KRISHNAN
장전수학회 (Jangjeon Mathematical Society)|2012.10|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제15권 제4호|pp. 423-435|DOI 10.17777/pjms.2012.15.4.010

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참고문헌

키워드

(°¯¤)-gp.open (closed) mapping(°¤¯)-gp.homeomorphism¯¤)-gp.homeomorphism°¤p-normal space°¤p -regular space.
주제분류수학

초록

In this paper, we introduced the concepts of (°, ¯¤)-generalized-pre-open (closed) mapping and (°¤, ¯)-generalized-pre-homeomorphism and studied some of their properties. Further we de¯ned (°¤, ¯¤)-generalized-pre-open (closed) mappings and (°¤, ¯¤)-generalized-pre-homeomorphism and character-ized them using °¤-gp.open (closed) sets and ¯¤-gp.open (closed) sets. Finally we characterized of °¤p-normal spaces and °¤p -regular spaces.

Abstract

In this paper, we introduced the concepts of (°, ¯¤)-generalized-pre-open (closed) mapping and (°¤, ¯)-generalized-pre-homeomorphism and studied some of their properties. Further we de¯ned (°¤, ¯¤)-generalized-pre-open (closed) mappings and (°¤, ¯¤)-generalized-pre-homeomorphism and character-ized them using °¤-gp.open (closed) sets and ¯¤-gp.open (closed) sets. Finally we characterized of °¤p-normal spaces and °¤p -regular spaces.

참고문헌 (26)

  1. B. Ahmad, "¤-regular and -normal spaces", Math. Today, 22(1), pp.37~44 (2006)
  2. D. Andrijevic, "Semi preopen sets", Math. Vesnik, 38, pp.24~32 (1986)
  3. D. Andrijevic, "On the topology generated by preopen sets", Math. Vesnik, 39, pp.367~376 (1987)
  4. S.P. Arya, "Characterizations of s-normal spaces", Indian. J. Pure Appl. Math, 21, pp.717~719 (1990)
  5. A. Csaszar, "Generalized open sets", Acta Math. Hungar, 75, pp.65~87 (1997)
  6. A. Csaszar, "Generalized topology, generalized continuity", Acta Math. Hungar, 96, pp.351~357 (2002)
  7. R. Devi, "Semi-generalized closed maps and generalized semi- closed maps", Mem. Fac. Sci. Kochi Univ. Ser. A Math, 14, pp.41~54 (1993)
  8. N. El-Deeb, "On p-regular spaces", Bull. Math. Soc. Sci. Math. R. S. Roumanie (N.S.), 27(75), pp.311~315 (1983)
  9. D.S. Jankovic, "On Functions with ®-closed Graphs", Glasnik Math, 18, pp.141~148 (1983)
  10. S. Kasahara, "On Weakly Compact Regular Spaces II", Proc. Japan Acad, 33, pp.255~259 (1975)
  11. S. Kasahara, "Operation - compact spaces", Math. Japonica, 24, pp.97~105 (1979)
  12. N. Levine, "Generalized closed sets in topology", Rend. Circ. Mat. Palermo, 19(2), pp.89~96 (1970)
  13. N. Levine, "Semi-open sets and semi continuity in topological spaces", Amer. Math. Monthly, 70, pp.36~41 (1963)
  14. S. Lugojan, "Topologii generalizate", Stud, Cerc. Mat, 34, pp.348~360 (1982)
  15. S.N. Maheswari, "On s-normal spaces", Bull. Math. Soc. Sci. Math. R. S. Roumanie (N.S.), 22(70), pp.27~29 (1978)
  16. H. Maki, "Every topological space is pre-T1=2 space", Mem. Fac. Sci. Kochi Univ. (Math), 17, pp.33~42 (1996)
  17. S.R. Malghan, "Generalized closed maps", J. Karnatak. Univ. Sci, 27, pp.82~88 (1982)
  18. A.S. Mashhour, "On pre-continuous and weak pre- continuous mappings", Proc., Math., Phys., Soc., Egypt, 53, pp.47~53 (1982)
  19. H. Ogata, "Operation on topological spaces and associated topology", Math. Japonica, 36, pp.175~184 (1991)
  20. H. Ogata, "Remarks on Some Operation-Separation Axioms", Bull. Fuckuoka Univ. Ed. Part III, 40, pp.41~43 (1991)
  21. G. Sai Sundara Krishnan, "On -semi open sets in topological spaces", Bull. Cal. Math. Soc, 98(6), pp.517~530 (2006)
  22. G. Sai Sundara Krishnan, "On a class of -preopen sets in a topological space", East Asian Math. J, 22(2), pp.131~149 (2006)
  23. G. Sai Sundara Krishnan, "On a class of¤-pre-open sets in topological spaces, (Accepted)", ~
  24. D. Saravanakumar, "New types of continuous mappings in topological spaces, (Submitted)", ~
  25. D. Saravanakumar, "Generalized mappings via new closed sets", Int. J. of Math. Sci. and Appl, 2(1), pp.127~137 (2012)
  26. D. Saravanakumar, "On °¤ - generalized - pre - closed sets,(°¤, ¯¤)-pre gp.continuous mappings and °¤-pre-compact spaces", Proc. of ICMEB, 2, pp.512~515 (2012)

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