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On decompositions of continuity via idealization

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Abstract

We have introduced α-I-open, semi-I-open and β-I-open sets via idealization and using these sets obtained new decompositions of continuity.

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References

  1. M. E. Abd. El-Monsef, S. N. El-Deeb and R. A. Mahmoud, β-open sets and β-continuous mappings, Bull. Fac. Sci. Assiut Univ., 12 (1983), 77-90.

    MATH  MathSciNet  Google Scholar 

  2. M. E. Abd. El-Monsef, E. F. Lashien and A. A. Nasef, On I-open sets and I-continuous function, Kyungpook Math. J., 32 (1992), 21-30.

    MATH  MathSciNet  Google Scholar 

  3. J. Dontchev, Idealization of Ganster-Reilly decomposition theorems, Math. GN/9901017, 5 Jan. 1999 (Internet).

  4. E. Hatir, T. Noiri and Ş. Yüksel, A decomposition of continuity, Acta Math. Hungar., 70 (1996), 145-150.

    Article  MATH  MathSciNet  Google Scholar 

  5. E. Hayashi, Topologies defined by local properties, Math. Ann., 156 (1964), 205-215.

    Article  MATH  MathSciNet  Google Scholar 

  6. D. Janković and T. R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly, 97 (1990), 295-310.

    Article  MathSciNet  Google Scholar 

  7. N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70 (1963), 36-41.

    Article  MATH  MathSciNet  Google Scholar 

  8. A. S. Mashhour, M. E. Abd. El-Monsef and S. N. El-Deeb, On precontinuous and weak precontinuous mappings, Proc. Math. Phys. Soc. Egypt, 53 (1982), 47-53.

    MATH  MathSciNet  Google Scholar 

  9. A. S. Mashhour, I. N. Hasanein and S. N. El-Deeb, α-continuous and α-open mappings, Acta Math. Hungar., 41 (1983), 213-218.

    Article  MATH  MathSciNet  Google Scholar 

  10. O. Njåstad, On some classes of nearly open sets, Pacific J. Math., 15 (1965), 961-970.

    MATH  MathSciNet  Google Scholar 

  11. P. Samuels, A topology formed from a given topoplogy and ideal, J. London Math. Soc., 10 (1975), 409-416.

    MATH  MathSciNet  Google Scholar 

  12. J. Tong, On decomposition of continuity in topological spaces, Acta Math. Hungar., 54 (1989), 51-55.

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Selçuk Üniversitesi, Eğitim Fakültesi Matematik Bölümü, 42090, Konya, Turkey

    E. Hatir

  2. Department of Mathematics, Yatsushiro College of Technology, Yatsushiro, Kumamoto, 866-8501, Japan

    T. Noiri

Authors
  1. E. Hatir
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  2. T. Noiri
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Hatir, E., Noiri, T. On decompositions of continuity via idealization. Acta Mathematica Hungarica 96, 341–349 (2002). https://doi.org/10.1023/A:1019760901169

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