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arXiv · 2307.16671

Boolean dimension of a Boolean lattice

Marcin Briański·Jędrzej Hodor·Hoang La·Piotr Micek·Katzper Michno
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Abstract

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 $n$.

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Marcin Briański, Jędrzej Hodor, Hoang La, Piotr Micek, Katzper Michno. 2025-03-12. Boolean dimension of a Boolean lattice. https://doi.org/10.1007/s11083-024-09666-w

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