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16 votes
4 answers
4k views

When do Kan extensions preserve limits/colimits?

I'm guessing the answer to this question is well-known: Suppose that $Y:C \to P$ and $F:C \to D$ are functors with $D$ cocomplete. Then one can define the point-wise Kan extension $\mathbf{Lan}_Y\...
David Carchedi's user avatar
3 votes
1 answer
276 views

Question about the proof of Kerodon tag 030V (Proposition 7.3.7.1)

$\require{AMScd}$ Related to this, I have a question about the proof given in Kerodon of the following result: Proposition 7.3.7.1: Let $C$ be an $\infty$-category, let $\bar{F} : C^\rhd \to D$ be a ...
daniel gratzer's user avatar