On the Strong Freese-Nation Property

We show that there is a boolean algebra that has the Freese-Nation property (FN) but not the strong Freese-Nation property (SFN), thus answering a question of Heindorf and Shapiro. Along the way, we produce some new characterizations of the FN and SFN in terms of sequences of elementary submodels.

Bibliographische Detailangaben

Veröffentlicht in:	Order (Dordrecht) 2017-03, Vol.34 (1), p.91-111
1. Verfasser:	Milovich, David
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Boolean algebra Discrete Mathematics Lattices Mathematics Mathematics and Statistics Order Ordered Algebraic Structures
Online-Zugang:	Volltext
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