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

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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Pinchuck, Andrew (Dr)

RU Department of Mathematics (Pure and Applied)

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