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Results tagged with accessible-categories
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user 152679
8
votes
Accepted
When is the Eilenberg-Moore category of a monad on an ind-category itself an ind-category?
Let $T$ be a monad on an accessible category (i.e. an $\mathbf{Ind}$-category). If the underlying endofunctor of $T$ is finitary (i.e. preserves filtered colimits), then the Eilenberg–Moore category o …
- 10.7k
2
votes
0
answers
92
views
Coslices of $\mathbb D$-presentable categories
Let $\mathbb D$ be a sound limit doctrine. When $\mathbb D$ is the doctrine of $\lambda$-small limits, then for any $\mathbb D$-presentable category $\mathscr C$ and $X \in \mathscr C$, the coslice $X …
- 10.7k