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Oct 25, 2016 at 21:19 comment added Mike Shulman I don't know of a short term for it.
Oct 25, 2016 at 20:32 comment added Max New Is there established terminology for the correspondence between the two rather than the specific half of the correspondence that "Grothendieck construction" refers to? I've searched for "Grothendieck correspondence" but nothing relevant came up.
Aug 4, 2016 at 15:00 comment added Noam Zeilberger For another (unpublished) reference, Bénabou discusses these and other properties of "generalised fibrations" in Section 7 of "Distributors at Work" (lecture notes prepared by Thomas Streicher).
Aug 3, 2016 at 17:29 vote accept Max New
Aug 3, 2016 at 16:24 history answered Mike Shulman CC BY-SA 3.0