2019/04/04 by Zabidin Salleh, Salleh, Zabidin
Computer Science · Decision Sciences · Mathematics · #54A05 #54A10 #54D20 #54E55 #Advanced Algebra and Logic #FOS: Mathematics #Fuzzy and Soft Set Theory #General Topology (math.GN) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.1904.02445
openalex publication_date 2019/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let ( X,τ1,τ2) be a bitopological space and % ( X,τ( 1,2) s,τ( 2,1) s) its pairwise semiregularization. Then a bitopological property P is called pairwise semiregular provided that ( X,τ1,τ2) has the property P if and only if ( X,τ( 1,2) s,τ( 2,1) s) has the same property. In this work we study pairwise semiregular property of ( i,j) -nearly Lindelöf, pairwise nearly Lindelöf, ( i,j) -almost Lindelöf, pairwise almost Lindelöf, ( i,j) -weakly Lindelöf and pairwise weakly Lindelöf spaces. We prove that ( i,j) -almost Lindel% öf, pairwise almost Lindelöf, ( i,j) -weakly Lindelö% f and pairwise weakly Lindelöf are pairwise semiregular properties, on the contrary of each type of pairwise Lindelöf space which are not pairwise semiregular properties.