In this paper, we study the properties of Q* open sets in various spaces. In particular we investigate the properties in affine spaces, irreducible spaces and Q*T1 ordered spaces. Also we define Gd set, contra Q* closure of a set, Q*continuous function, Q* irresolute, increasing Q*open set and decreasing Q* open set in ordered spaces and study some properties.
Gd set, Contra Q* closure of a set, Q*continuous function, Q* irresolute, Q*T1 spaces, increasing Q*open set, decreasing Q* open set in ordered spaces