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E-ISSN: 2788-9327

P-ISSN: 1606-8947

Vol. 24 No. 2 (2020)

On Maximal α-Continuous Maps in Topological spaces

  • Khaled Ahmed Mohammed AL-Hamadi Dept. of Math., Faculty of Sciences, Univ. of Aden, Yemen
  • Ebtesam Qaid Ahmed Mohammed Dept. of Math., Faculty of Education, Univ. of Aden, Yemen

University of Aden Journal of Natural and Applied Sciences, Vol. 24 No. 2 (2020), 31-10-2020 Page 489-494

DOI:

https://doi.org/10.47372/uajnas.2020.n2.a16

Abstract

In this paper, we introduce new types of maps called maximal α-continuous, maximal α-irresolute, minimal-maximal α-continuous and strongly maximal α-continuous maps in topological spaces, studying some of their fundamental properties and their relations with others. Also, we introduce a new class of topological spaces called \(αT_{max}\) studying some of their fundamental properties.

Keywords:
    Minimal open set, maximal open set, maximal α-open, minimal α-closed sets

How to Cite

AL-Hamadi, K. A. M., & Mohammed, E. Q. A. (2020). On Maximal α-Continuous Maps in Topological spaces. University of Aden Journal of Natural and Applied Sciences, 24(2), 489–494. https://doi.org/10.47372/uajnas.2020.n2.a16
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