Enrichment over virtual double categories yields a familial 2-functor, giving stronger exactness properties than enrichment over monoidal categories or bicategories.
A G iraud-- C onduch\'e condition for generalized multicategories, 2025
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The familial nature of enrichment over virtual double categories
Enrichment over virtual double categories yields a familial 2-functor, giving stronger exactness properties than enrichment over monoidal categories or bicategories.