Abstract. In 1995, A.A. Nasef and T. Noiri [6] introduced the notion of strongly
- irresolute functions. In the present paper, we generalize this notion to the setting of bitopological spaces and obtain some characterizations and properties of pairwise strongly semi-preirresolute functions.
AMS Mathematics Subject Classifications (2010): 54E55, 54A05, 54C10, 54D05.
Key words and phrases: semi-preopen, (i, j)-semi-preopen, semi-preirresolute, pairwise strongly semi-preirresolute.
1. Introduction and preliminaries
The study of bitopological spaces was initiated by Kelly [4] in 1963. Abd ElMonsef et al. [1] introduced the notion of
-open sets and
-continuity in topological spaces. On the other hand, Andrijevic [2] called
-open sets semipreopen and obtained many properties of such subsets. Recently, Khedr et al. [5] have investigated the notions of semi-preopen sets and semi-precontinuity in bitopological spaces. In 1995, Nasef and Noiri [6] defined and studied the concept of strongly
- irresolute functions. The purpose of the present paper is to extend the concept of strongly -irresoluteness to the setting of bitopological spaces.
Throughout the present paper, (X, 1, 2) and (Y, 1, 2) always mean bitopological spaces. For a subset A of a space X, i-c1(A) (resp. i-int(A)) denotes the closure (resp. interior) of A with respect to i
, for i = 1,2. However, i-c1(A) and
i-int(A) are briefly denoted by c1i(A) and inti(A), respectively, if there is no possibility of
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The research conducted in items 2, 3, 4, 5, 6 are related to Birkhoff ergodic