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A general character theory for partially ordered sets and lattices

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We use characters of lattices (i.e. lattice morphisms into the two element lattice 2) and characters of topological spaces (i.e. continuous functions into an appropriately topologized two element space 2) to obtain connections and dualities between various categories of lattices and topological spaces. The objective is to present a unified treatment of various known aspects in the relation between lattices and topological spaces and to discover, on the way, some new ones.

Author(s): Hofmann, Karl Heinrich; Keimel, Klaus
Series: Memoirs of the American Mathematical Society, 122
Publisher: AMS
Year: 1972

Language: English
Pages: 129