Author(s):
Dias, Margarida 
Date: 2007
Persistent ID: http://hdl.handle.net/10316/11292
Origin: Estudo Geral - Universidade de Coimbra
Subject(s): Ordered (preordered) topological spaces; Priestley spaces
Document details
Priestley spaces: the threefold way
Description
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 : OrdTopop ¡æ 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 Mr¢¥owka [5], three situations where, for discrete-ordered topological spaces, one obtains Stone spaces instead of Priestley spaces. FCT/Centro de Matemática da Universidade de Coimbra
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 : OrdTopop ¡æ 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 Mr¢¥owka [5], three situations where, for discrete-ordered topological spaces, one obtains Stone spaces instead of Priestley spaces. FCT/Centro de Matemática da Universidade de Coimbra
Document Type
Preprint
Language English
Language English
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