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Title
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Functional ideals and topological theories
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Author
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Abstract
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| In this paper we give new and unified isomorphic characterizations of approach spaces, pre-approach spaces, convergence approach spaces, uniform gauge spaces, topological spaces, convergence spaces, pretopological spaces, metric spaces and uniform spaces. The unified treatment is made possible by the use of a type of ideals of positive real-valued functions, a concept, richer and more appropriate than filters for our purpose. |
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Language
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English
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Source (journal)
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Houston journal of mathematics. - Houston, Tex.
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Publication
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Houston, Tex.
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2008
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ISSN
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0362-1588
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Volume/pages
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34
:4
(2008)
, p. 1065-1089
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ISI
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000264434800008
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