%0 Journal Article %T On the strong Freese-Nation property %A David Milovich %J Mathematics %D 2014 %I arXiv %X 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. %U http://arxiv.org/abs/1412.7443v1