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• W2953309541 abstract "We observe that if $R:=(I,rho, J)$ is an incidence We observe that if $R:=(I,rho, J)$ is an incidence structure, viewed as a matrix, then the topological closure of the set of columns is the Stone space of the Boolean algebra generated by the rows. As a consequence, we obtain that the topological closure of the collection of principal initial segments of a poset $P$ is the Stone space of the Boolean algebra $Tailalg (P)$ generated by the collection of principal final segments of $P$, the so-called {it tail-algebra of $P$}. Similar results concerning Priestley spaces and distributive lattices are given. A generalization to incidence structures valued by abstract algebras is considered." @default.
• W2953309541 created "2019-06-27" @default.
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• W2953309541 date "2006-01-06" @default.
• W2953309541 modified "2023-09-27" @default.
• W2953309541 title "Incidence structures and Stone-Priestley duality" @default.
• W2953309541 hasPublicationYear "2006" @default.
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