Boolean dimension of a Boolean lattice

Marcin Briański, Jędrzej Hodor, Hoang La, Piotr Micek, Katzper Michno

Published 2023-07-31Version 1

For every integer $n$ with $n \geq 6$, we prove that the Boolean dimension of a poset consisting of all the subsets of $\{1,\dots,n\}$ equipped with the inclusion relation is strictly less than $n$.