Extension theorems on L-topological spaces and L-fuzzy vector spaces

dc.contributor.advisor	Kotzé, Wesley
dc.contributor.author	Pinchuck, Andrew
dc.date.accessioned	2026-03-03T13:36:15Z
dc.date.issued	2002
dc.description.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.
dc.description.degree	Master's thesis
dc.description.degree	MSc
dc.format.extent	77 pages
dc.format.mimetype	application/pdf
dc.identifier.other	http://hdl.handle.net/10962/d1005219
dc.identifier.uri	https://researchrepository.ru.ac.za/handle/123456789/4158
dc.language	English
dc.publisher	Rhodes University, Faculty of Science, Department of Mathematics
dc.rights	Pinchuck, Andrew
dc.subject	Topology
dc.subject	Vector spaces
dc.subject	Generalized spaces
dc.title	Extension theorems on L-topological spaces and L-fuzzy vector spaces
dc.type	Academic thesis

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