On b-connectedness and b-disconnectedness and their applications

In this paper, by using b-open (=γ-open) sets we study the concept of b-separated sets. With this concept we study the notion of b-connected sets and strongly b-connected sets. We give some properties of such concepts with some b-separation axioms and compact spaces. Finally, we construct a new topo...

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Bibliographic Details
Main Authors: A.A. El-Atik, H.M. Abu Donia, A.S. Salama
Format: Article
Language:English
Published: SpringerOpen 2013-04-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X12000466
Description
Summary:In this paper, by using b-open (=γ-open) sets we study the concept of b-separated sets. With this concept we study the notion of b-connected sets and strongly b-connected sets. We give some properties of such concepts with some b-separation axioms and compact spaces. Finally, we construct a new topological space on a connected graph.
ISSN:1110-256X