- Title
- Extension theorems on L-topological spaces and L-fuzzy vector spaces
- Creator
- Pinchuck, Andrew
- ThesisAdvisor
- Kotzé, Wesley
- Subject
- Topology
- Subject
- Vector spaces
- Subject
- Generalized spaces
- Date
- 2002
- Type
- Thesis
- Type
- Masters
- Type
- MSc
- Identifier
- vital:5405
- Identifier
- http://hdl.handle.net/10962/d1005219
- Identifier
- Topology
- Identifier
- Vector spaces
- Identifier
- Generalized spaces
- Description
- A non-trivial example of an L-topological space, the fuzzy real line is examined. Various L-topological properties and their relationships are developed. Extension theorems on the L-fuzzy real line as well as extension theorems on more general L-topological spaces follow. Finally, a theory of L-fuzzy vector spaces leads up to a fuzzy version of the Hahn-Banach theorem.
- Format
- 77 p., pdf
- Publisher
- Rhodes University, Faculty of Science, Mathematics
- Language
- English
- Rights
- Pinchuck, Andrew
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