%0 Journal Article %T Associahedra and Weak Monoidal Structures on Categories %A Zbigniew Fiedorowicz %A Steven Gubkin %A Rainer M. Vogt %J Mathematics %D 2010 %I arXiv %R 10.2140/agt.2012.12.469 %X 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? %U http://arxiv.org/abs/1005.3979v4