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Nov 2, 2012 at 11:15 vote accept Akhil Mathew
Nov 2, 2012 at 7:07 comment added Neil Strickland Here's a point of terminology that will help you find references: an $H_\infty$ structure on $\bigvee_{k\in d\mathbb{Z}}\Sigma^kE$ is essentially what is called an $H^d_\infty$ structure in the $H_\infty$ book (Springer LNM 1176). Of course $H_\infty$ is weaker than $E_\infty$ but this is a start.
Nov 2, 2012 at 5:04 answer added Tyler Lawson timeline score: 16
Nov 2, 2012 at 3:11 comment added Peter May I'm pretty sure it is not, why would it be? Sorry not to have time to say more. Essentially, even with the $2$, the commutativity is only homotopical, not as strict as would be required.
Nov 2, 2012 at 2:23 history asked Akhil Mathew CC BY-SA 3.0