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

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

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-fuzz...

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Bibliographic Details
Main Author: Pinchuck, Andrew
Format: Others
Language:English
Published: Rhodes University 2002
Subjects:
Topology
Vector spaces
Generalized spaces
Online Access:http://hdl.handle.net/10962/d1005219
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spelling ndltd-netd.ac.za-oai-union.ndltd.org-rhodes-vital-54052017-07-20T04:13:26ZExtension theorems on L-topological spaces and L-fuzzy vector spacesPinchuck, AndrewTopologyVector spacesGeneralized spacesA 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.Rhodes UniversityFaculty of Science, Mathematics2002ThesisMastersMSc77 p.pdfvital:5405http://hdl.handle.net/10962/d1005219EnglishPinchuck, Andrew
collection NDLTD
language English
format Others
sources NDLTD
topic Topology
Vector spaces
Generalized spaces
spellingShingle Topology
Vector spaces
Generalized spaces
Pinchuck, Andrew
Extension theorems on L-topological spaces and L-fuzzy vector 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.
author Pinchuck, Andrew
author_facet Pinchuck, Andrew
author_sort Pinchuck, Andrew
title Extension theorems on L-topological spaces and L-fuzzy vector spaces
title_short Extension theorems on L-topological spaces and L-fuzzy vector spaces
title_full Extension theorems on L-topological spaces and L-fuzzy vector spaces
title_fullStr Extension theorems on L-topological spaces and L-fuzzy vector spaces
title_full_unstemmed Extension theorems on L-topological spaces and L-fuzzy vector spaces
title_sort extension theorems on l-topological spaces and l-fuzzy vector spaces
publisher Rhodes University
publishDate 2002
url http://hdl.handle.net/10962/d1005219
work_keys_str_mv AT pinchuckandrew extensiontheoremsonltopologicalspacesandlfuzzyvectorspaces
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