Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Serdica Mathematical Journal, Vol. 24, No 1, (1998), 95p-98p
Abstract:
We present the original proof, based on the Doitchinov completion,
that a totally bounded quiet quasi-uniformity is a uniformity. The
proof was obtained about ten years ago, but never published. In the mean-time
several stronger results have been obtained by more direct arguments
[8, 9, 10]. In particular it follows from Künzi’s [8] proofs that each totally
bounded locally quiet quasi-uniform space is uniform, and recently Déak
[10] observed that even each totally bounded Cauchy quasi-uniformity is a
uniformity.
