Pairwise Semiregular Properties on Generalized Pairwise Regular-Lindelöf Spaces

Year 2010, Volume: 3 , 127 - 136, 21.10.2010

Zabidin Salleh Adem Kılıçman

Abstract

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.

Keywords

Bitopological space, pairwise nearly regular-Lindel¨of, pairwise almost regular-Lindel¨of, pairwise weakly regular-Lindel¨of, (i, j)-semiregular property, pairwise semiregular property