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Associahedra and Weak Monoidal Structures on Categories

Zbigniew Fiedorowicz, Steven Gubkin, and Rainer M Vogt

Audio, Transactions of the IRE Professional Group on (2010)

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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