The Boolean lattice $\mathcal{B}_6$ is not a sphere order

David A. Meyer

Source record

Source: arXiv

Published: Oct 1, 2026

arXiv: 2610.02329

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Source abstract

Using the equivalence of sphere order representations of posets with Minkowski space embeddings, we show that the Boolean lattice $\mathcal{B}_6$ is not a sphere order. This is the first explicit finite example of a poset that is not a sphere order.

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The Boolean lattice $\mathcal{B}_6$ is not a sphere order — Mathematical Frontier Network