If $M$ is an endofunctor on a category $\cal K$ and $\eta:Id_{\cal K}\to M$ is a natural transorfmation, what is the difference between $\eta M$ and $M\eta$, and how these two (componentwise) are defined on an object $A$ in $\cal K$ ?
2026-03-25 07:43:00.1774424580
Composition of a natural transformations with a functor--whiskering
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$(\eta M)_A=\eta_{M(A)}$ and $(M\eta)_A=M(\eta_A)$