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Generalized Open Sets

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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.

    Google Scholar 

  2. N. Bourbaki, General Topology, Addison-Wesley (1966).

  3. Á. Császár, αβγδ-compact spaces (Instituto di Geometria dell'Università di Torino, 1979).

  4. J. Dontchev, Characterization of some peculiar topological spaces via A-and B-sets, Acta Math. Hungar., 69 (1995), 67-71.

    Google Scholar 

  5. M. Ganster and I. L. Reilly, A decomposition of continuity, Acta Math. Hungar., 56 (1990), 299-301.

    Google Scholar 

  6. K. Kuratowski, Topology I, Academic Press (1966).

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

    Google Scholar 

  8. S. N. Maheshwari and U. Tapi, Note on some applications of feebly open sets (M. B. J. Univ. of Saugar, 1979).

  9. 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.

    Google Scholar 

  10. A. S. Mashhour, I. A. Hasanein and S. N. El-Deeb, A note on semi-continuity and precontinuity, Indian J. Pure Appl. Math., 13 (1982), 1119-1123.

    Google Scholar 

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

    Google Scholar 

  12. A. A. Nasef and T. Noiri, Some weak forms of almost continuity, Acta Math. Hungar., (in print).

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

    Google Scholar 

  14. T. Noiri, On α-continuous functions, Časopis Pést. Mat., 109 (1984), 118-126.

    Google Scholar 

  15. T. Noiri, Almost α-continuous functions, Kyungpook Math. J., 28 (1988), 71-77.

    Google Scholar 

  16. I. L. Reilly and M. K. Vamanamurthy, On α-continuity in topological spaces, Acta Math. Hungar., 45 (1985), 27-32.

    Google Scholar 

  17. W. Rinow, Lehrbuch der Topologie, VEB Deutscher Verlag der Wissenschaften (1975).

  18. J. Tong, A decomposition of continuity, Acta Math. Hungar., 48 (1986), 11-15.

    Google Scholar 

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

    Google Scholar 

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Császár, Á. Generalized Open Sets. Acta Mathematica Hungarica 75, 65–87 (1997). https://doi.org/10.1023/A:1006582718102

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