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For questions on limits and colimts in the sense of category theory, and related notions.

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Large V-categories admitting the construction of V-presheaves

(this should be a comment rather than an answer but I'm new here so I can't comment yet) I take it that by "The $\mathscr V$-enriched presheaf category $[C^{op},\mathscr V]$ exists", you mean as an ob …
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