Some Analytical Aspects of Categories

In this paper we discuss some analytical aspects of categories. Here we see that if  F : C→ D is a covariant functor then image of F will not form a subcategory of D. We provide an example to show it. Also we try to find some results of the category of rings ( Ring), the category of sets (Set), the category of groups (Gp) and category of topological spaces ( Top).  We define some functors between categories and discuss their properties.

Key words: Category, functor, morphism, monomorphism, epimorphism,bimorphism, isomorphism , balanced, normalcategory