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Cartesian closed hull for (quasi-)metric spaces (revisited)

Mark Nauwelaerts — 2000

Commentationes Mathematicae Universitatis Carolinae

An existing description of the cartesian closed topological hull of $p {MET}^{\infty}$ , the category of extended pseudo-metric spaces and nonexpansive maps, is simplified, and as a result, this hull is shown to be a special instance of a “family” of cartesian closed topological subconstructs of $p q s {MET}^{\infty}$ , the category of extended pseudo-quasi-semi-metric spaces (also known as quasi-distance spaces) and nonexpansive maps. Furthermore, another special instance of this family yields the cartesian closed topological hull of...

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