Title
Functional ideals and topological theories Functional ideals and topological theories
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Houston, Tex. ,
Subject
Mathematics
Source (journal)
Houston journal of mathematics. - Houston, Tex.
Houston journal of mathematics. - Houston, Tex.
Volume/pages
34(2008) :4 , p. 1065-1089
ISSN
0362-1588
ISI
000264434800008
Carrier
E
Target language
English (eng)
Affiliation
University of Antwerp
Abstract
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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