Duality theory for enriched Priestley spaces

Hofmann D, Nora P (2023)

Publication Type: Journal article

Publication year: 2023

Journal

Journal of Pure and Applied Algebra Elsevier

Book Volume: 227

Article Number: 107231

Journal Issue: 3

DOI: 10.1016/j.jpaa.2022.107231

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.

Authors with CRIS profile

Pedro Nora Lehrstuhl für Informatik 8 (Theoretische Informatik)

Involved external institutions

University of Aveiro / Universidade de Aveiro PT Portugal (PT)

How to cite

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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