The Bushy Sets in Cluster Topological Proximity Space

The research presents the notion of a bushy set in proximity space. The concept of co-bushy space is also introduced here by utilizing the cluster structure for a topological proximity space. These concepts are discussed with a view to finding new topological proximity space from the original one. Its most important characteristics are studied here. Finally, the notion of non-dismountable spaces and dismountable spaces, are introduced and some equivalent conditions concerning this, are established here.