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.
El-Atik, A., Abu Donia, H., & Salama, A. (2013). On b-connectedness and b-disconnectedness and their applications. Journal of the Egyptian Mathematical Society, 21(1), 63-67. doi: 10.1016/j.joems.2012.09.003
MLA
A.A. El-Atik; H.M. Abu Donia; A.S. Salama. "On b-connectedness and b-disconnectedness and their applications", Journal of the Egyptian Mathematical Society, 21, 1, 2013, 63-67. doi: 10.1016/j.joems.2012.09.003
HARVARD
El-Atik, A., Abu Donia, H., Salama, A. (2013). 'On b-connectedness and b-disconnectedness and their applications', Journal of the Egyptian Mathematical Society, 21(1), pp. 63-67. doi: 10.1016/j.joems.2012.09.003
VANCOUVER
El-Atik, A., Abu Donia, H., Salama, A. On b-connectedness and b-disconnectedness and their applications. Journal of the Egyptian Mathematical Society, 2013; 21(1): 63-67. doi: 10.1016/j.joems.2012.09.003