- Title
- Complete regularity and related concepts in L-uniform spaces
- Creator
- Harnett, Rait Sicklen
- ThesisAdvisor
- Kotzé, W.
- ThesisAdvisor
- Chadwick, J.
- Subject
- Uniform spaces
- Subject
- Mathematics -- Research
- Date
- 1992
- Type
- Thesis
- Type
- Masters
- Type
- MSc
- Identifier
- vital:5403
- Identifier
- http://hdl.handle.net/10962/d1005217
- Identifier
- Uniform spaces
- Identifier
- Mathematics -- Research
- Description
- L will denote a completely distributive lattice with an order reversing involution. The concept of an L-uniform space is introduced. An extension theorem concerning L-uniformly continuous functions is proved. A characterisation of L-uniformizability, involving L-complete regularity is given. With respect to L--completely regular spaces it is shown that the topological modification of an L-completely regular space is completely regular. Furthermore it is shown that the topologically generated L-topology of a completely regular space is L-completely regular.
- Format
- 151 p., pdf
- Publisher
- Rhodes University, Faculty of Science, Mathematics
- Language
- English
- Rights
- Harnett, Rait Sicklen
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Collections
RU Department of Mathematics (Pure and Applied)
| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details | SOURCEPDF | 12 MB | Adobe Acrobat PDF | View Details |