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4 votes
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Functoriality of weighted limits

Let $X$ be an arbitrary object in $\mathcal{C}$. I write $\{ W, F \}$ for the limit of $F$ weighted by $W$. By definition, $$\mathcal{C} (X, \{ W, F \}) \cong [\mathcal{I}, \textbf{Set}] (W, \mathcal{ …
Zhen Lin's user avatar
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12 votes
Accepted

What's the intuition for weighted limits?

In enriched category theory, weighted limits may be strictly more general than conical limits, in the sense that an enriched category with all conical limits may fail to have all weighted limits. Howe …
Zhen Lin's user avatar
  • 15.9k