Dichotomy of the addition of natural numbers

Mathematics – Rings and Algebras

Scientific paper

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15 pages (final version)

Scientific paper

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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