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AL-Rafidain Journal of Computer Sciences and Mathematics

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ii- Open Set in Bitopological Spaces

    Beyda S. Abdullah Amir A. Mohammed

AL-Rafidain Journal of Computer Sciences and Mathematics, 2020, Volume 14, Issue 2, Pages 33-39
10.33899/csmj.2020.167336

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Abstract

     In this paper, we define ii-open set in bitopological space as follows: Let ( ,  , ) be a bitopological space, a subset A of  is   said to be ( – ii- open set )  if there exist  U,V ≠ and    U,V    such that:

A=int1(U)                          or            A=int2 (V)
A                 or      A

      We study some characterizations and properties of this class.  Also, we explain the relation between ii- open sets and open sets, i-open sets and α-open sets in bitopological space. Furthermore, we define ii- continuous mapping on bitopological spaces with some properties.
 
Keywords:
    α- open set i- open set ii- open set bitopological space
Main Subjects:
  • Mathematics
  • Sets Theory
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(2020). ii- Open Set in Bitopological Spaces. AL-Rafidain Journal of Computer Sciences and Mathematics, 14(2), 33-39. doi: 10.33899/csmj.2020.167336
Beyda S. Abdullah; Amir A. Mohammed. "ii- Open Set in Bitopological Spaces". AL-Rafidain Journal of Computer Sciences and Mathematics, 14, 2, 2020, 33-39. doi: 10.33899/csmj.2020.167336
(2020). 'ii- Open Set in Bitopological Spaces', AL-Rafidain Journal of Computer Sciences and Mathematics, 14(2), pp. 33-39. doi: 10.33899/csmj.2020.167336
ii- Open Set in Bitopological Spaces. AL-Rafidain Journal of Computer Sciences and Mathematics, 2020; 14(2): 33-39. doi: 10.33899/csmj.2020.167336
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