The scale of a quasi-uniform space

Master Thesis

2009

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http://hdl.handle.net/11427/19067
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thesis_sci_2009_olivier_olela_otafudu.pdf (2.05 MB)
Authors
Olivier, Olela Otafudu
Supervisors
Künzi, Hans-Peter A
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University of Cape Town

Department
Department of Mathematics and Applied Mathematics
Faculty
Faculty of Science
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Abstract
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).
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Mathematics

Reference:

Olivier, O. 2009. The scale of a quasi-uniform space. University of Cape Town.

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