Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/28974
Title: | Convergence and quantale-enriched categories |
Author: | Hofmann, Dirk Reis, Carla D. |
Keywords: | Ordered compact Hausdorff space Metric space Approach space Sober space Cauchy completness Quantale-enriched category |
Issue Date: | 2018 |
Publisher: | Shahid Beheshti University |
Abstract: | Generalising Nachbin's theory of "topology and order", in this paper we continue the study of quantale-enriched categories equipped with a compact Hausdorff topology. We compare these $\mathcal{V}$-categorical compact Hausdorff spaces with ultrafilter-quantale-enriched categories, and show that the presence of a compact Hausdorff topology guarantees Cauchy completeness and (suitably defined) codirected completeness of the underlying quantale enriched category. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/28974 |
ISSN: | 2345-5853 |
Publisher Version: | http://cgasa.sbu.ac.ir/article_58262.html |
Appears in Collections: | CIDMA - Artigos AGG - Artigos DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
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compact_V_cats.pdf | 605.33 kB | Adobe PDF | View/Open |
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