Algebra, Logic and Topology

 

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Author(s)
Margarida Dias;

Title
Priestley spaces: the threefold way

Abstract
Three different ways of describing Priestley spaces are presented: as the objects of a category which arises in the equivalence induced by an adjunction
F ⊣ U : OrdTop → Lat, as limits of (suitable) finite topologically-discrete preordered spaces (i.e. as profinite preorders) and as the 2-compact ordered spaces, in the sense of Engelking and Mrówka [5], three situations where, for discrete-ordered topological spaces, one obtains Stone spaces instead of Priestley spaces.

Preprint series
Pré-publicações do Departamento de Matemática da Universidade de Coimbra

Issue
07-25

Year
2007

 
     
 

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