Volume 12, issue 1 (2012)

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Associahedra and weak monoidal structures on categories

Zbigniew Fiedorowicz, Steven Gubkin and Rainer M Vogt

Algebraic & Geometric Topology 12 (2012) 469–492
Abstract

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?

Keywords
associahedra, monoidal category, operad, Tamari lattice
Mathematical Subject Classification 2000
Primary: 18D10, 55P48
Secondary: 06A07