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user 11640
5
votes
Accepted
Does $\mathsf{Ind}_\lambda^\mu(\mathsf{Ind}_\kappa^\lambda(\mathcal C)) = \mathsf{Ind}_\kapp...
I asked myself the same questions while working on this paper [TAC].
It seemed to me that the way to answer questions like this is to embed $\textbf{Ind}_\kappa^\lambda (\mathcal{C})$ into the usual $ …
- 15.9k
4
votes
Accepted
When is a finitary functor induced by Ind (co)continuous
Allow me to generalise to $\kappa$-accessible categories for infinite regular cardinals $\kappa$. Your guess for (2) is correct: if $F$ preserves $\kappa$-small colimits then $\tilde{F}$ preserves col …
- 15.9k