Let (X, τ1, τ2) be a bitopological space and ³ X, τ s (1,2), τ s (2,1)´ its pairwise semiregularization. Then a bitopological property P is called pairwise semiregular provided that (X, τ1, τ2) has the property P if and only if³ X, τ s (1,2), τ s (2,1)´ has the same property. In this paper we study pairwise semiregular properties of a bitopological space. We prove that pairwise almost regularLindel¨ofness and pairwise weakly regular-Lindel¨ofness are pairwise semiregular properties.
Primary Language | English |
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Subjects | Engineering |
Journal Section | Mathematics |
Authors | |
Publication Date | October 21, 2010 |
Published in Issue | Year 2010 Volume: 3 |