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Apr 10, 2023 at 11:58 comment added Maxime Ramzi If $M$ is an $\mathbb E_{n+1}$-monoid (including $n=\infty$, where $\infty+1 = \infty$), you can make $i$ into a map of $\mathbb E_n$-monoids. In fact, you can always make it into a map of $\mathbb E_{n+1}$-monoids, but then the souce (or target) has to be tempered with, something like $M^{op}$
Apr 10, 2023 at 10:17 comment added Z. M What is "a map" in the first item $i\colon M\to M$? A map of anima, $E_1$-monoids, or $E_\infty$-monoids?
Apr 9, 2023 at 22:56 vote accept Emily
Apr 9, 2023 at 22:56 comment added Emily Thanks, Maxime, this is great!
Apr 9, 2023 at 20:42 history answered Maxime Ramzi CC BY-SA 4.0