On Chu Spaces over $SS-Act$ Category

Abstract

We prove the general properties of morphisms of Chu spaces and functors with a value in the category $Chu(SS-Act)$ of Chu spaces over the category $SS-Act$. As a consequence, for the category $Chu(SS-Act)$ the existence of coproducts and some products is proved, monomorphisms and epimorphisms are characterized; in terms of this category the characteristics of separable and complete separable Chu spaces are given.

Keywords

• cartesian closed category
• $s$-act
• chu spaces
• functors
• limits