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Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/4291

Title: The Cartesian Closed Topological Hull of the Category of (Quasi-)Uniform Spaces (Revisited)
Authors: Nauwelaerts, Mark
Issue Date: 2001
Publisher: Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Citation: 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.
Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
32 (2001) suppl.2
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.
URI: http://hdl.handle.net/10077/4291
ISSN: 0049-4704
Appears in Collections:Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.32 (2001) s2

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