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Apr 24, 2012 at 11:08 comment added David White Yes, one reason you need to move to $E_\infty$ in characteristic $\neq 0$ is that you have no hope of having a model category on strictly commutative monoids unless the characteristic is 0. This means you need to use $E_\infty$ if you want homotopy theoretic meaning. See for instance: mathoverflow.net/questions/23269/…
Apr 23, 2012 at 5:23 history edited Sean Tilson CC BY-SA 3.0
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Apr 23, 2012 at 5:17 history answered Sean Tilson CC BY-SA 3.0