# Kerodon

$\Newextarrow{\xRightarrow}{5,5}{0x21D2}$ $\newcommand\empty{}$

Go back to the page of Example 2.1.6.15.

Comment #1056 by Carles Sáez on

I don't understand the last sentence of the example. From the previous discussion, I see that $\mu - \mu'$ is a coboundary if and only if then there is a monoidal natural isomorphism $\gamma$ from $(\operatorname{id}_C, \mu)$ to $(\operatorname{id}_C, \mu')$. But why specifically the identity transformation of $\operatorname{id_C}$? Isn't the identity transformation monoidal iff $\mu=\mu'$?

Comment #1060 by Kerodon on

Yep, said that wrong. Thanks!

There are also:

• 4 comment(s) on Chapter 2: Examples of $\infty$-Categories
• 3 comment(s) on Section 2.1: Monoidal Categories
• 2 comment(s) on Subsection 2.1.6: Monoidal Functors

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