On b-connectedness and b-disconnectedness and their applications

Document Type : Original Article

Authors

1 Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt

2 Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt

Abstract

In this paper, by using b-open (=c-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.

Keywords