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The Cartesian Closed Topological Hull of the Category of (Quasi-)Uniform Spaces (Revisited)
Nauwelaerts, Mark
2001
Abstract
This paper provides a concrete description of the cartesian
closed topological hull of qUnif, the category of quasi-uniform
spaces and uniformly continuous maps, inside q(S)ULim,
the category of quasi-(semi-)uniform limit spaces and uniformly
continuous maps, which also allows to derive a similar and new
description of the CCT hull of Unif inside (S)ULim. In both
cases, the objects of the CCT hull are (quasi-)(semi-)uniform
limit spaces whose collection of filters satisfies some natural closure
condition, related to the (q)Unif-bireflection of the space in
question.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
32 (2001) suppl.2
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
Mark Nauwelaerts, "The Cartesian Closed Topological Hull of the Category of (Quasi-)Uniform Spaces (Revisited)", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 32 (2001) suppl.2, pp. 101–125.
Languages
en
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