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  • 1 Department of Mathematics, Canakkale Onsekiz Mart University, Terzioglu Campus, 17020 Canakkale, Turkey
  • | 2 Department of Mathematics, Women’s Christian College, 6, Greek Church Row, Kolkata 700 026, India
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Abstract

We introduce new types of sets called -sets and -sets and study some of their fundamental properties. We then investigate the topologies obtained from these sets.

  • [1] El-Monsef, M. E. Abd, El-Deeb, S. N., Mahmoud, R. A. 1983 β-open sets and β-continuous mappings Bull. Fac. Sci. Assiut Univ. 12 7790.

    • Search Google Scholar
    • Export Citation
  • [2] Andrijević, D. 1996 On b-open sets Mat. Vesnik 48 5964.

  • [3] Alexandroff, P. 1937 Diskrete Räume Math. Sb. 2 501508.

  • [4] Caldas, M., Dontchev, J. 2000 -sets and -sets Mem. Fac. Sci. Kochi Univ. (Math.) 21 2130.

  • [5] Caldas, M., Georgiou, D. N., Jafari, S. 2007 Study of -closed sets and related notions in topological spaces Bull. Malays. Math. Sci. Soc. 30 2336.

    • Search Google Scholar
    • Export Citation
  • [6] Caldas, M., Jafari, S., Noiri, T. 2006 On sets and the associated topology Acta Math. Hungar. 110 337345 .

  • [7] Caldas, M., Jafari, S. 2009 Generalized -sets and related topics Georgian Math. J. 16 247256.

  • [8] Cammaroto, F., Noiri, T. 2005 On -sets and related topological spaces Acta Math. Hungar. 109 261279 .

  • [9] Császár, Á. 2002 Generalized topology, generalized continuity Acta Math. Hungar. 96 351357 .

  • [10] Császár, Á. 2004 Separation axioms for generalized topologies Acta Math. Hungar. 104 6369 .

  • [11] Császár, Á. 2005 Generalized open sets in generalized topologies Acta Math. Hungar. 106 5366 .

  • [12] Ganster, M., Jafari, S., Noiri, T. 2002 On pre--sets and pre--sets Acta Math. Hungar. 95 337343 .

  • [13] Hatir, E., Noiri, T. 2004 -sets and some weak separation axioms Acta Math. Hungar. 103 225232 .

  • [14] Levine, N. 1963 Semi-open sets and semi-continuity in topological spaces Amer. Math. Monthly 70 3641 .

  • [15] Maki, H., Generalized -sets and the associated closure operator, Special issue in commemoration of Prof. Kazusada Ikeda’s retirement (1986), 139146.

    • Search Google Scholar
    • Export Citation
  • [16] Mashhour, A. S., Abd-El Monsef, M. E., El-Deeb, S. N. 1982 On precontinuous and weak precontinuous mappings Proc. Math. Phys. Soc. Egypt 53 4753.

    • Search Google Scholar
    • Export Citation
  • [17] Njåstad, O. 1965 On some classes of nearly open sets Pacific J. Math. 15 961970.

  • [18] Popa, V., Noiri, T. 2001 On definitions of some generalized forms of continuity under minimal conditions Mem. Fac. Sci. Kochi Univ. Math. Ser. 22 919.

    • Search Google Scholar
    • Export Citation
  • [19] Veličko, N. V. 1966 H-closed topological spaces Mat. Sb. 70 98112.

Acta Mathematica Hungarica
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  • Impact Factor (2019): 0.588
  • Scimago Journal Rank (2019): 0.489
  • SJR Hirsch-Index (2019): 38
  • SJR Quartile Score (2019): Q2 Mathematics (miscellaneous)
  • Impact Factor (2018): 0.538
  • Scimago Journal Rank (2018): 0.488
  • SJR Hirsch-Index (2018): 36
  • SJR Quartile Score (2018): Q2 Mathematics (miscellaneous)

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation
1950
Volumes
per Year
3
Issues
per Year
6
Founder Magyar Tudományos Akadémia  
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Address
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Springer Nature Switzerland AG
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ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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