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Tagged with limits-and-colimits kan-extension
2 questions
16
votes
4
answers
4k
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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\...
3
votes
1
answer
276
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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 ...