Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Meyer, David A.
Institution: University of California San Diego
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7220372161