The applications of the universal morphisms of CF-TOP the category of all fuzzy topological spaces

Abstract

In the present work, we built a category of fuzzy topological spaces from Chang's definition of Fuzzy TOPological space, that we denoted CF-TOP. Firstly, we collected universal morphisms of the TOP category, listed by Sander Mac Lane [6], then, we studied universal morphisms of CF-TOP. This study shows that these morphisms are just generalizations of TOP category morphisms, which confirms that Chang's fuzziness to topological space is weak. At the end of this work, we prove that TOP and CF-TOP are not isomorphic.