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* Closed Grothendieck Construction
@ 2020-10-21 19:43 Christian Williams
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From: Christian Williams @ 2020-10-21 19:43 UTC (permalink / raw)
  To: categories

Hello,

The equivalence of monoidal indexed categories and monoidal fibrations has
been proved in "Monoidal Grothendieck Construction" by Joe Moeller and
Christina Vasilakopoulou. (https://arxiv.org/abs/1809.00727)

Has the analogous statement for closed structure been proved? It appears to
be folklore, often assumed in categorical logic and elsewhere. It is likely
that I simply haven't found the right reference. Any help is appreciated.

Thank you,
Christian Williams


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