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Generalizations of Lindelöf Properties in Bitopological Spaces

 

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  • Product Description
 

We are concerned with the ideas of pairwise Lindelöf, generalizations of pairwise Lindelöf and pairwise regular-Lindelöf in bitopological space. There are four kinds of pairwise Lindelöf, i.e., Lindelöf, B-Lindelöf, s-Lindelöf and p-Lindelöf and three kinds of generalized pairwise Lindelöf, i.e., pairwise nearly Lindelöf, pairwise almost Lindelöf and pairwise weakly Lindelöf. Another idea is leads to the pairwise nearly regular-Lindelöf, pairwise almost regular-Lindelöf and pairwise weakly regular-Lindelöf. Some characterizations of these new spaces are given. The relations among them are studied. Subspaces are also studied and some of their characterizations investigated. We show that some subsets inherit these generalized pairwise covering properties. Mappings and generalized pairwise continuities are also studied. The effect of mappings on these generalized properties is investigated. We show that some mappings preserve these pairwise covering properties. It is shown that some of the generalized properties are pairwise semiregular properties. The productivity of these generalized properties are studied. We show that the pairwise Lindelöf are not preserved under finite products.

Product Specifications
SKU :COC24378
AuthorZabidin Salleh and Adem K?l?çman
LanguageEnglish
BindingPaperback
Number of Pages436
Publishing Year10/19/2012
ISBN978-3659247378
Edition1 st
Book TypeMathematics
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-07-28 00:00:00
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