Weil Entourages in Pointfree Topology

Ph. D. Thesis

Jorge Picado
Departamento de Matemática
Universidade de Coimbra


Abstract: Uniform structures for frames and their generalizations (quasi-uniformities and nearnesses) are the subject of this thesis. Weil's notion on entourage is extended to this framework and it is proved that this is a basic concept on which that structures may be axiomatized. On the other hand, it is shown that uniform frames may also be described by gauge structures, that is, certain families of metric diameters.