Some Generalizations Of g**-Open Sets in Topological Spaces

Abstract

In this paper, we generated a new type of open sets, namely g**-open sets in topological spaces, used to constructed new types of separation axioms g**-Ti spaces (i = 0, ?, 1, 2) and characterized g**-Ti spaces using g**-open and g**-closed sets. Further we defined new generalized closed sets, namely g**g-closed and gg**-closed sets and investigated some of their basic properties.