The Study Of Semi-topological Linear Spaces And Its Properties

In this paper, we introduced the notion of semi-topological linear spaces and obtained the some fundamental properties of semi-topological linear spaces.This thesis consists of four parts.Chapter one: In this chapter, the basical definitions and necessary lemmas were introduced in the paper.Chapter two: In this chapter, we introduced the notions of pre–semi-con -tinuous mapping in general topological spaces , and gave some properties of pre–semi-continuous mapping.Chapter three: In this chapter, the notion of semi-topological linear space -s was given . The some fundamental properties of semi- topological linear sp -aces were obtained.Chapter four: In this chapter,we studied the subspaces,product spaces and quotient spaces of semi-topological linear spaces,and obtained some resu -lts about them .