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On a Class of γ*-pre-open Sets in Topological Spaces

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In this paper, a new class of opensets, namely γ*-pre-open sets was introduced and its basicproperties were studied. Moreover a new type of topology τγp* was generated using γ*-pre-open sets andcharacterized the resultant topological space (X, τγp*) as γ*-pre-T½ space.

Abstract

In this paper, a new class of opensets, namely γ*-pre-open sets was introduced and its basicproperties were studied. Moreover a new type of topology τγp* was generated using γ*-pre-open sets andcharacterized the resultant topological space (X, τγp*) as γ*-pre-T½ space.

참고문헌 (9)

  1. D. Andrijevic, "Semi pre open sets", Math. Vesnik, 38, pp.24~32 (1986)
  2. D. Andrijevic, "On the topology generated by preopen sets", Math. Vesnik, 39, pp.367~376 (1987)
  3. S. Kasahara, "Operation - compact spaces", Math. Japonica, 24, pp.97~105 (1979)
  4. N. Levine, "Semi-open sets and semi continuity in topological spaces", Amer. Math. Monthly, 70, pp.36~41 (1963)
  5. H. Maki, "Every topological space is pre-T1=2 space", Mem. Fac. Sci. Kochi Univ. (Math), 17, pp.33~42 (1996)
  6. A. S. Mashhour, "On pre-continuous and weak pre-continuous mappings", Proc., Math., Phys., Soc., Egypt, 53, pp.47~53 (1982)
  7. H. Ogata, "Operation on topological spaces and associated topology", Math. Japonica, 36, pp.175~184 (1991)
  8. G. Sai Sundara Krishnan, "On γ-semi open sets in topological spaces", Bull. Cal. Math. Soc., 98(6), pp.517~530 (2006)
  9. G. Sai Sundara Krishnan, "On a class of -preopen sets in a topological space", East Asian Math. J., 22, pp.131~149 (2006)

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