Open AccessOn b-connectedness and b-disconnectedness and their applications
Author(s) -
Abd El Fattah El Atik,
H.M. Abu Donia,
A. S. Salama
Publication year - 2013
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2012.09.003
Subject(s) - separation axiom , mathematics , social connectedness , topological space , separated sets , open set , axiom , graph , construct (python library) , compact space , connected component , combinatorics , pure mathematics , discrete mathematics , topology (electrical circuits) , computer science , isolated point , topological vector space , geometry , psychotherapist , programming language , psychology
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