Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/28978
Title: | Cartesian closed exact completions in topology |
Author: | Clementino, Maria Manuel Hofmann, Dirk Ribeiro, Willian |
Keywords: | Quantale Enriched category (Probabilistic) metric space Exponentiation (Weakly) cartesian closed category Exact completion |
Issue Date: | Feb-2020 |
Publisher: | Elsevier |
Abstract: | Using generalized enriched categories, in this paper we show that Rosický’s proof of cartesian closedness of the exact completion of the category of topological spaces can be extended to a wide range of topological categories over Set, like metric spaces, approach spaces, ultrametric spaces, probabilistic metric spaces, and bitopological spaces. In order to do so we prove a sufficient criterion for exponentiability of (T, V)-categories and show that, under suitable conditions, every injective (T, V)-category is exponentiable in (T, V)-Cat. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/28978 |
DOI: | 10.1016/j.jpaa.2019.06.003 |
ISSN: | 0022-4049 |
Appears in Collections: | CIDMA - Artigos AGG - Artigos DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
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CHR_WeaklyCC.pdf | 468.86 kB | Adobe PDF | View/Open |
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