Priestley-type dualities for partially ordered structures
Olivia Caramello
TL;DR
This paper develops a general framework for dualities between categories of partial orders and ordered Stone spaces, extending classical Priestley duality to various partially ordered structures.
Contribution
It introduces a unified approach to generate dualities for different classes of partially ordered structures, generalizing classical Priestley duality.
Findings
Recovered classical Priestley duality for distributive lattices
Established new dualities for other partially ordered structures
Provided a general framework applicable to multiple categories
Abstract
We introduce a general framework for generating dualities between categories of partial orders and categories of ordered Stone spaces; we recover in particular the classical Priestley duality for distributive lattices and establish several other dualities for different kinds of partially ordered structures.
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