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Planar posets can have arbitrarily large dimension. However, a planar poset of height h has dimension at most 192 h + 96, while a planar poset with t minimal elements has dimension at most 2 t + 1. In particular, a planar poset with a unique minimal element has dimension at most 3. In this paper, we extend this result by showing that a planar poset has dimension at most 6 if it has a plane diagram in which every minimal element is accessible from below.

Planar Posets that are Accessible from Below Have Dimension at Most 6