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Michał Seweryn, Dimension and standard examples in planar posets
Michał Seweryn, Dimension and standard examples in planar posets
The dimension of a poset is the least integer $d$ such that the poset is isomorphic to a subposet of the product of $d$ linear orders. In 1983, Kelly constructed planar posets of arbitrarily large dimension. Crucially, the posets in his construction involve large standard examples, the canonical structure preventing a poset from having small …