Associahedra and Weak Monoidal Structures on Categories

Mathematics – Algebraic Topology

Scientific paper

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24 pages (corrected a typo in punchline of a proof, added references to Tamari lattice)

Scientific paper

This paper answers the following question: what algebraic structure on a
category corresponds to an $A_n$ structure (in the sense of Stasheff) on the
geometric realization of its nerve?

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