Semi-topological properties

A property preserved under a semi-homeomorphism is said to be a seml-topologJcal property. In the present paper we prove the following results: (1) A topological property P is semi-topological if and only if the statement '(X,T) has P if and only if (X.F(T)) has P' is true where F(T) is the finest topology on X having the same family of semi-open sets as (X.T), (2) if P is a topological property being minimal P is semi-topologlcal if and only if for each minimal P space (X,T), T= F(T).