Smarandache V-Connected Spaces (Report‪)‬

[section]1. Introduction After the introduction of semi open sets by Norman Levine various authors have turned their attentions to this concept and it becomes the primary aim of many mathematicians to examine and explore how far the basic concepts and theorems remain true if one replaces open set by semi open set. The concept of semi connectedness and locally semi connectedness are introduced by Das and J. P. Sarkar and H. Dasgupta in their papers. Keeping this in mind we here introduce the concepts of connectedness using v-open sets in topological spaces. Throughout the paper a space X means a topological space (X, [Tau]). The class of v-open sets is denoted by v - D(X, [Tau]) respectively. The interior, closure, v-interior, v-closure are defined by [A.sup.o], [A.sup.-], v[A.sup.o], v[A.sup.-] respectively. In section 2 we discuss the basic definitions and results used in this paper. In section 3 we discuss about Smarandache v-connectedness and v-components and in section 4 we discuss locally Smarandache v-connectedness in the topological space and obtain their basic properties.