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.

Priestley-type dualities for partially ordered structures

CARAMELLO, OLIVIA
2016-01-01

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.
2016
http://elsevier.com/locate/apal
Distributive lattice; Free structure; Grothendieck topos; Ordered structure; Priestley duality; Stone space; Logic
Caramello, Olivia
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2063463
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