Acta Mathematica Hungarica

, Volume 117, Issue 4, pp 335–340

Note on generalized open sets

Article
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Abstract

Characterizations of γ-open sets and locally γ-regular sets are given. We generalize some already established results and answer an open question by giving a characterization to γ-quasi-open sets.

Key words and phrases

γ-open set γ-regular set γ-rare set locally γ-regular set γ-quasi-open set 

2000 Mathematics Subject Classification

54A05 

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References

  1. [1]
    N. Bourbaki, General Topology (Part I), Addison-Wesley Publishing Company, Inc. (1966).Google Scholar
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    Á. Császár, Generalized open sets, Acta Math. Hungar., 75 (1997), 65–87.MATHCrossRefMathSciNetGoogle Scholar
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    Á. Császár, γ-quasi-open sets, Studia Sci. Math. Hungar., 38 (2001), 171–176.MATHMathSciNetGoogle Scholar
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    Á. Császár, Remarks on γ-quasi-open sets, Studia Sci. Math. Hungar., 39 (2002), 137–141.MATHMathSciNetGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2007

Authors and Affiliations

  1. 1.Department of MathematicsKamaraj CollegeThoothukudi, Tamil NaduIndia
  2. 2.Department of MathematicsAditanar CollegeTiruchendurIndia
  3. 3.Department of Computer ApplicationsD.J. Academy for Managerial ExcellenceCoimbatoreIndia

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