Caristi's fixed point theorem and metric convexity
Cartesian closed hull for metric spaces
Cartesian closed hull for (quasi-)metric spaces (revisited)
An existing description of the cartesian closed topological hull of , 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 , 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...
Cartesian closed hull of uniform spaces
Cartesian closed topological hull of the construct of closure spaces.
Cartesian products of -spaces.
Cartesian spaces over and locales over
Cartesian-closed coreflective subcategories of
Cartesian-closed coreflective subcategories of uniform spaces
Categorial aspects are useful for topology
Categorial aspects are useful in topology
Categorial methods in topology
Categorial refinements and their relation to reflective subcategories
Categorical aspects of the classical Ascoli theorems
Categorical properties of iterated power.
Categories of closure spaces and corresponding lattices
Categories of continuous function spaces
Categories of directed spaces
The main goal of the present paper is to unify two commonly used models of directed spaces: d-spaces and streams. To achieve this, we provide certain "goodness" conditions for d-spaces and streams. Then we prove that the categories of good d-spaces and good streams are isomorphic. Next, we prove that the category of good d-spaces is complete, cocomplete, and cartesian closed (assuming we restrict to compactly generated weak Hausdorff spaces). The category of good d-spaces is large enough to contain...
Categories of topological spaces with sufficiently many sequentially closed spaces
Categories of Wallman extendible functions