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Ball, Richard N.; Pultr, Aleš

Forbidden forests in Priestley spaces. (English) Zbl 1062.06020

Cah. Topol. Géom. Différ. Catég. 45, No. 1, 2-22 (2004).
Many important classes of distributive lattices \(L\) can be characterized by forbidding their Priestley duals \(P(L)\) to contain a given finite poset \(T\). The authors show that, conversely, for any forest \(T\), the corresponding class of distributive lattices has a first-order axiomatization.
Reviewer: Jiří Rosický (Brno)

Cited in 2 Reviews
Cited in 8 Documents

MSC:

06D50 Lattices and duality
06D05 Structure and representation theory of distributive lattices

Keywords:

distributive lattice; Priestley duality
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\textit{R. N. Ball} and \textit{A. Pultr}, Cah. Topol. Géom. Différ. Catég. 45, No. 1, 2--22 (2004; Zbl 1062.06020)
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