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Title: Profinite relational structures
Authors: Janelidze, George 
Sobral, Manuela 
Keywords: Ordered (preordered) topological spaces; Priestley space; Stone space; Fibration; Topological functor; Profinite; Relational structure; Quasi-variety
Issue Date: 2008
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 08-36 (2008)
Abstract: We show that a topological preorder (on a Stone space) is profinite if and only if it is inter-clopen, i.e. it can be presented as an intersection of closed-andopen preorders on the same space. In particular this provides a new characterization of the so-called Priestley spaces. We then extend this from preorders to general relational structures satisfying some conditions. We also give a stronger condition that has a rather clear model-theoretic meaning.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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