Boolean dimension of a Boolean lattice

Abstract

For every integer $n$ with $n\ge 6$, 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 $n$.

References in corpus (2)

• Dimension and cut vertices: an application of Ramsey theory
• The order dimension of divisibility

Cited by in corpus (1)

• Some frustrating questions on dimensions of products of posets