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Apr 27, 2011 at 20:42 comment added John Palmieri The non-uniqueness is important, because $m_n(a_1 \otimes \dots \otimes a_n)$ may have very different values for two different (but isomorphic) $A_\infty$ structures. Anyway, I will look at the citation you mentioned -- I mainly care about the positive characteristic case.
Apr 26, 2011 at 19:59 comment added Fernando Muro @Damien: Yes, exactly.
Apr 26, 2011 at 12:52 comment added DamienC By essentieally unique, do you mean that it is unique up to a unique $A_\infty$-isomorphism ? If so, then we agree :-)
Apr 26, 2011 at 12:11 comment added Fernando Muro Damien, the structure is not unique. Perhapes you are mislead by the fact that it is essentially unique, but there are tons precisely because of that.
Apr 26, 2011 at 7:19 history answered DamienC CC BY-SA 3.0