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 | 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. | 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. |
Type: | Article | 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 |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
11-nauwelaerts.pdf | 215.58 kB | Adobe PDF | ![]() View/Open |
CORE Recommender
Page view(s) 50
826
checked on Jul 5, 2022
Download(s) 50
905
checked on Jul 5, 2022
Google ScholarTM
Check
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.