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 $n$.
Research Article
Boolean dimension of a Boolean lattice
https://doi.org/10.21203/rs.3.rs-3221036/v1
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published 14 Mar, 2024
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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 $n$.
Poset
dimension
Boolean dimension
Boolean lattice
No competing interests reported.
published 14 Mar, 2024
Editorial decision: Revision requested
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You are reading this latest preprint version