Abstract
dc:description.abstractWe introduce and investigate the concept of a bi σ-frame. The cozero part of a biframe, itself a bi σ-frame, is defined and used to construct the compact regular, and regular Lindelöf coreflections for biframes. Pseudocompactness for biframes is defined in a natural way and characterised in terms of the cozero part. Finally we obtain the σ-frame analogue of the result that characterises the stably continuous frames in terms of the compact regular biframes.
Degree
thesis:*- Grantor dc:publisher.institution
- Department of Mathematics and Applied Mathematics
- Year dc:date.issued
- 1999
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Matutu, P
- Advisors dc:contributor.advisor
-
- Gilmour, Christopher Robert Anderson
- Brümmer, G C L
Rights
- Language dc:language.iso
- eng
Identifiers
dc:identifier.*- Handle dc:identifier.uri
- http://hdl.handle.net/11427/12535
- OAI identifier oai:identifier
- oai:open.uct.ac.za:11427/12535