Pinchuck, A.L. (2002) Extension theorems on L-topological spaces and L-fuzzy vector spaces. Masters thesis, Rhodes University.
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)|
|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.)|
|Deposited By:||Rhodes Library Archive Administrator|
|Deposited On:||03 Mar 2009|
|Last Modified:||06 Jan 2012 16:20|
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