%0 Journal Article
%T Large subposets with small dimension
%A Benjamin Reiniger
%A Elyse Yeager
%J Mathematics
%D 2014
%I arXiv
%X Dorais asked for the maximum guaranteed size of a dimension $d$ subposet of an $n$-element poset. A lower bound of order $\sqrt{n}$ was found by Goodwillie. We provide a sublinear upper bound for each $d$. For $d=2$, our bound is $n^{0.8295}$.
%U http://arxiv.org/abs/1404.0021v1