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arxiv: 1108.6238 · v1 · pith:NQZTOJ2Hnew · submitted 2011-08-31 · 🧮 math.RA · math.CO

Dichotomy of the addition of natural numbers

classification 🧮 math.RA math.CO
keywords posettamariadditionarithmeticassociahedrondichotomyelementaryincluding
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This is an elementary presentation of the arithmetic of trees. We show how it is related to the Tamari poset. In the last part we investigate various ways of realizing this poset as a polytope (associahedron), including one inferred from Tamari's thesis.

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