The scale of a quasi-uniform space

Over the last forty years much progress has been made in the investigation of the scale of a uniform space. In particular, Bushaw, Kent, Ramsey and Richardson published several articles concerning the scale of a uniform space. The aim of this dissertation is to begin a similar investigation into the scale of a quasi-uniform space. It starts off with a summary of results obtained for the scale of a uniform space, which, has been investigated in the past. We conclude by commencing an investigation into the scale of a quasi-uniform space. Here several results obtained for the scale of a uniform space are generalized, and some original results for the scale of a quasi-uniform space are presented. Includes bibliographical references (pages 76-79).

Grantor dc:publisher.institution

Department of Mathematics and Applied Mathematics

Year dc:date.issued

2009

Author dc:creator

• Olivier, Olela Otafudu

Advisor dc:contributor.advisor

• Künzi, Hans-Peter A

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/11427/19067

OAI identifier oai:identifier

oai:open.uct.ac.za:11427/19067