Hofmann D, Nora P (2023)
Publication Type: Journal article
Publication year: 2023
Book Volume: 227
Article Number: 107231
Journal Issue: 3
DOI: 10.1016/j.jpaa.2022.107231
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.
APA:
Hofmann, D., & Nora, P. (2023). Duality theory for enriched Priestley spaces. Journal of Pure and Applied Algebra, 227(3). https://dx.doi.org/10.1016/j.jpaa.2022.107231
MLA:
Hofmann, Dirk, and Pedro Nora. "Duality theory for enriched Priestley spaces." Journal of Pure and Applied Algebra 227.3 (2023).
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