# A Note on Totally Bounded Quasi-Uniformities

Serdica Mathematical Journal (1998)

- Volume: 24, Issue: 1, page 95-98
- ISSN: 1310-6600

## Access Full Article

top## Abstract

top## How to cite

topFletcher, 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 -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.