CONVERGENCE OF NET IN TOPOLOGICAL SPACE

Abstract

The word topology is derived from Greek word “Topos” meaning “surface” and “Logos” meaning “Discourse” or “Study”. Topology thus literally means the Study of Surfaces. Its English form “Topology” was introduced in 1883 within the journal nature to differentiate . The term “net” was coined by John L. Kelly. Nets are one among the various tools utilized in topology to generalize certain concepts which will only be general enough within the context of metric spaces. In mathematics, more specifically in general topology and related branches, a net or Moore-Smith sequence is a generalization of the notion of sequence. In essence, a sequence is a function with domain, the natural numbers and within the context of topology, the co-domain of this function is usually any topological space. However, in the context of topology, seque