Год выпуска: 2012 Автор: Zabidin Salleh and Adem K?l?cman Издательство: LAP Lambert Academic Publishing Страниц: 436 ISBN: 9783659247378
Описание
We are concerned with the ideas of pairwise Lindelof, generalizations of pairwise Lindelof and pairwise regular-Lindelof in bitopological space. There are four kinds of pairwise Lindelof, i.e., Lindelof, B-Lindelof, s-Lindelof and p-Lindelof and three kinds of generalized pairwise Lindelof, i.e., pairwise nearly Lindelof, pairwise almost Lindelof and pairwise weakly Lindelof. Another idea is leads to the pairwise nearly regular-Lindelof, pairwise almost regular-Lindelof and pairwise weakly regular-Lindelof. 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...