A Note on Totally Bounded Quasi-Uniformities

Fletcher, P., and Hunsaker, W.. "A Note on Totally Bounded Quasi-Uniformities." Serdica Mathematical Journal 24.1 (1998): 95-98. <http://eudml.org/doc/11581>.

@article{Fletcher1998,
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.},
author = {Fletcher, P., Hunsaker, W.},
journal = {Serdica Mathematical Journal},
keywords = {D-Complete; Quite; -complete quasi-uniform space; quiet quasi-uniform space},
language = {eng},
number = {1},
pages = {95-98},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {A Note on Totally Bounded Quasi-Uniformities},
url = {http://eudml.org/doc/11581},
volume = {24},
year = {1998},
}

TY - JOUR
AU - Fletcher, P.
AU - Hunsaker, W.
TI - A Note on Totally Bounded Quasi-Uniformities
JO - Serdica Mathematical Journal
PY - 1998
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 24
IS - 1
SP - 95
EP - 98
AB - 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.
LA - eng
KW - D-Complete; Quite; -complete quasi-uniform space; quiet quasi-uniform space
UR - http://eudml.org/doc/11581
ER -