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A poset or partially ordered set is a set endowed with a partial order, meaning a binary relation $\leq$ which is reflexive ($x \leq x$ for all $x$), antisymmetric ($x\leq y$ and $y\leq x$ implies $x=y$), and transitive ($x\leq y$ and $y\leq z$ implies $x \leq z$).

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Whitney-like embedding theorem for posets?

Is anything like this true for posets? I'm looking for conditions on a poset $P$, under which there exists an embedding of $P$ into a cube $L^n$ for some linear order $L$. … I'm not sure exactly what locality should mean here for posets, but hopefully the community will know it when it sees it. …
David Spivak's user avatar
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