A RELATION BETWEEN THE CATEGORIES Set * , SetT, Set AND SetT

Document Type : Research Paper

Authors

SHAHID BAHONAR UNIVERSITY OF KERMAN

Abstract

In this article, we have shown, for the add-point monad T, the
partial morphism category Set
*
is isomorphic to the Kleisli category SetT. Also
we have proved that the category, SetT, of T-algebras is isomorphic to the
category Set of pointed sets. Finally we have established commutative squares
involving these categories.

Keywords