Infinite antichains in semilattices
作者： Hilary A. Priestley , J. D. Lawson , Michael Mislove
DOI: 10.1007/BF00333134
关键词: Antichain 、 Algebra over a field 、 Combinatorics 、 Element (category theory) 、 Countable set 、 Product (mathematics) 、 Mathematics 、 Context (language use) 、 Semilattice
摘要: In this paper we consider infinite antichains and the semilattices that they generate, mainly in context of continuous semilattices. Conditions are first considered lead to antichain generating a copy countable product two-element semilattice. Then special semilattice, called Δ, is defined, its basic properties developed, it shown our main result semilattice with an converging larger element contains Δ. The closes consideration converge lower or parallel kinds generated context.
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