Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11239
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. | URI: | https://hdl.handle.net/10316/11239 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Vários |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Profinite relational structures.pdf | 106.13 kB | Adobe PDF | View/Open |
Page view(s)
362
checked on Aug 27, 2024
Download(s)
73
checked on Aug 27, 2024
Google ScholarTM
Check
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.