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I almost expect the answer to this question to be no, but I can't find it explicitly said anywhere. Given a formal group law $f$ of height $n$ over a perfect field $k$ of characteristic $p$, we can ...

I am a beginner in this field. My question is (1) Is the existence of $E_\infty$ ring structure not closed under weak equivalence of ring spectra? (2) If (1) is true, what is the risk of replacing a ...