Nearness and convergence in pointfree topology

We introduce and investigate the concept of a nearness structure on a σ-frame. Analogues of the Samuel Compactification, Uniform Coreflection and Completion in the nearness σ-frame setting are obtained. Convergence in uniform frames is also a subject of this thesis integrating compactness, precompactness and paracompactness. Finally, the notion of uniform paracompactness is introduced and its relation with convergence is investigated.

Grantor dc:publisher.institution

Department of Mathematics and Applied Mathematics

Year dc:date.issued

2004

Author dc:creator

• Naidoo, Inderasan

Advisor dc:contributor.advisor

• Gilmour, Christopher Robert Anderson

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/11427/5962

OAI identifier oai:identifier

oai:open.uct.ac.za:11427/5962