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• W2017672011 abstract "In order to provide a region based theory of space the notion of Boolean contact algebras has been used. However, not all of the Boolean connectives, in particular complement, are well motivated in that context. A suitable generalization of this theory is to drop the notion of complement, thereby weakening the algebraic structure from a Boolean algebra to a distributive lattice. In this paper we investigate the representation theory of that weaker notion in order to determine whether it is still possible to represent each abstract algebra as a substructure of the regular closed sets of a suitable topological space with the standard (Whiteheadean) contact relation. Furthermore, we consider additional axioms for contact and the representation of those structures in topological spaces with richer structure." @default.
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• W2017672011 date "2008-05-01" @default.
• W2017672011 modified "2023-10-02" @default.
• W2017672011 title "Distributive contact lattices: Topological representations" @default.
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• W2017672011 doi "https://doi.org/10.1016/j.jlap.2007.10.002" @default.
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