More on upper bicompletion-true functorial quasi-uniformities

• Published in: Topology and its applications Vol. 158; no. 15; pp. 1937 - 1941
• Main Authors: Brümmer, G.C.L., Künzi, Hans-Peter A., Sioen, M.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15.09.2011
• Subjects: Bicompletion; Epimorphism; Functorial quasi-uniformity; K-true; Lower K-true; Prereflection; Strong topology; Upper K-true; 54B30; Strong topology; Bicompletion; Functorial quasi-uniformity; Prereflection; Epimorphism; 54E15; 18A40; Upper K-true; Lower K-true; K-true

Let T : QU 0 → Top 0 denote the usual forgetful functor from the category of quasi-uniform T 0 -spaces to that of the topological T 0 -spaces. We regard the bicompletion reflector as a (pointed) endofunctor K : QU 0 → QU 0 . For any section F : Top 0 → QU 0 of T we consider the (pointed) endofunctor...