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Title: Priestley spaces: the threefold way
Authors: Dias, Margarida 
Keywords: Ordered (preordered) topological spaces; Priestley spaces
Issue Date: 2007
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 07-25 (2007)
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 : 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.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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