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math.CT2018★ 22 cited
Monoidal Grothendieck construction
Joe Moeller, Christina Vasilakopoulou
We lift the standard equivalence between fibrations and indexed categories to an equivalence between monoidal fibrations and monoidal indexed categories, namely weak monoidal pseud…
math.CT2018★ 6 cited
On Enriched Fibrations
Christina Vasilakopoulou
We introduce the notion of an enriched fibration, i.e. a fibration whose total category and base category are enriched in those of a monoidal fibration in an appropriate way. Furth…