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arXiv · 1412.7443

On the strong Freese-Nation property

David Milovich
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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.

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David Milovich. 2016-08-13. On the strong Freese-Nation property. https://doi.org/10.1007/s11083-016-9389-9

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