, Volume 34, Issue 1, pp 91–111 | Cite as

On the Strong Freese-Nation Property

  • David Milovich


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.


Freese-Nation Property FN Strong Freese-Nation property SFN Elementary submodel Boolean algebra Davies tree Davies sequence Long ω1-approximation sequence 


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© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.Department of Mathematics and PhysicsTexas A&M International UniversityLaredoUSA

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