Ultrafilter-completeness on zero-sets of uniformly continuous functions (Q1632737)

The paper presents many uniform analogues of topological results, for instance dealing with the Dieudonné completion, the Hewitt completion and the Stone-Čech compactification of a Tychonoff space. For instance the Wallman completion of a uniform space in terms of its \(\beta\)-like compactification is characterized. In their fairly detailed and complex study the authors concentrate on various types of ultrafilter-completeness on zero-sets of uniformly continuous functions. Results are often formulated with the help of the category \(ZUnif,\) the objects of which are uniform spaces and the morphisms of which are coz-mappings.