Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/36589
Title: | Duality theory for enriched Priestley spaces |
Author: | Hofmann, Dirk Nora, Pedro |
Keywords: | Stone duality Metric space Priestley space Quantale-enriched category Variety Quasivariety |
Issue Date: | Mar-2023 |
Publisher: | Elsevier |
Abstract: | The term Stone-type duality often refers to a dual equivalence between a category of lattices or other partially ordered structures on one side and a category of topological structures on the other. This paper is part of a larger endeavour that aims to extend a web of Stone-type dualities from ordered to metric structures and, more generally, to quantale-enriched categories. In particular, we improve our previous work and show how certain duality results for categories of \([0,1]\)-enriched Priestley spaces and \([0,1]\)-enriched relations can be restricted to functions. In a broader context, we investigate the category of quantale-enriched Priestley spaces and continuous functors, with emphasis on those properties which identify the algebraic nature of the dual of this category. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/36589 |
DOI: | 10.1016/j.jpaa.2022.107231 |
ISSN: | 0022-4049 |
Appears in Collections: | AGG - Artigos |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
stone_to_gelfand_2.pdf | 600.87 kB | Adobe PDF |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.