Bicompleteness of the fine quasi-uniformity
Bicompleteness of the fine quasi-uniformity
Abstract A characterization of the topological spaces that possess a bicomplete fine quasi-uniformity is obtained. In particular we show that the fine quasi-uniformity of each sober space, of each first-countable T 1 -space and of each quasi-pseudo-metrizable space is bicomplete. Moreover we give examples of T 1 -spaces that do …