When does ${\mathrm{Ind}}_{\hat{I}}º(C^I)\simeq {\mathrm{Ind}}_{\hat{I}}º(C{)}^I$?

Simon Henry

We investigate under which condition the $\hat{I}º$-ind completion of a functor category $C^I$ is equivalent to the category of functors from $I$ to the $\hat{I}º$-ind completion of $C$. A pub…