More on Configurations in Priestley Spaces, and Some New Problems

Abstract. Prohibiting configurations (≡ induced finite connected posets) in Priestley spaces and properties of the associated classes of distributive lattices, and the related problem of configurations in coproducts of Priestley spaces, have been brought to satisfactory conclusions in case of configurations with a unique maximal element. The general case is, however, far from settled. After a short survey of known results we present the desired answers for a large (although still not complete) class of configurations without top.

• Type: Journal
• Year: 2007
• Where: ACS
• Authors: Richard N. Ball, Ales Pultr, Jirí Sichler
• Keywords: ACS 2007, Distributed And Parallel Computing, Distributive Lattices, Unique Maximal Element, finite Connected Posets