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Pinchuck, A.L. (2002) Extension theorems on L-topological spaces and L-fuzzy vector spaces. Masters thesis, Rhodes University.
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Thesis_AndrewPinchuck.pdf 385Kb |
Abstract
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.
| Item Type: | Thesis (Masters) |
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| Additional Information: | M.Sc. (Mathematics) |
| Uncontrolled Keywords: | L-topological space, L-fuzzy real line, L-fuzzy unit interval, L-fuzzy vector space, fuzzy normed space, Extension theorems |
| Subjects: | Y Unknown > Subjects to be assigned |
| Divisions: | Faculty > Faculty of Science > Mathematics (Pure & Applied) |
| Supervisors: | Kotzé, W. (Prof.) |
| ID Code: | 1301 |
| Deposited By: | Rhodes Library Archive Administrator |
| Deposited On: | 03 Mar 2009 |
| Last Modified: | 06 Jan 2012 16:20 |
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