Productivity of coreflective subcategories of uniform spaces
Products of locally connected locales
Products of metric, uniform and topological spaces
Products of uniform spaces
Products of uniform spaces (Summary)
Quantifying completion.
Raster convergence with respect to a closure operator
Realization of Cartesian Closed Topological Hulls.
Realization of mappings
Realizations of topologies and closure operators by set systems and by neighbourhoods
Regular closure operators and compactness
Regular -spaces
Relationship of algebraic theories to powerset theories and fuzzy topological theories for lattice-valued mathematics.
Relative continuity of the functor
Relative injectivity as cocompleteness for a class of distributors.
Remarks on reflections
Remarks on topologically algebraic functors
Representation of sheaves of metric lattices by sections
Ring epimorphisms and .
Rings of maps: sequential convergence and completion
The ring of all real-valued measurable functions, carrying the pointwise convergence, is a sequential ring completion of the subring of all continuous functions and, similarly, the ring of all Borel measurable subsets of is a sequential ring completion of the subring of all finite unions of half-open intervals; the two completions are not categorical. We study -rings of maps and develop a completion theory covering the two examples. In particular, the -fields of sets form an epireflective...