The Cartesian closed topological hull of the category of approach uniform spaces. (Q1414926)

The author considers the category \textbf{AUnif} of approach uniform spaces and uniform contractions. In order to enhance the convenience of the investigated category the author introduces its cartesian closed topological hull and describes it as a subcategory of \textbf{SAULim}, the category of semi-approach uniform limit spaces and uniform contractions. This hull is then also given a description inside the topological universe hull of \textbf{AUnif} and is shown to be a reasonable generalization of the corresponding hull of Unif. A large diagram shows the interdependence of many categories which are related to \textbf{AUnif}.