On the strong Freese-Nation property
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Abstract
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.Keywords
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This publication has 2 references indexed in Scilit:
- The (λ,κ)-Freese-Nation Property for Boolean Algebras and CompactaOrder, 2012
- Partial orderings with the weak Freese-Nation propertyAnnals of Pure and Applied Logic, 1996