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Apr 28, 2021 at 14:53 comment added Ivan Di Liberti Giulio Lo Monaco has shown "the uncheatable" for infinity categories here: tac.mta.ca/tac/volumes/37/5/37-05.pdf
Apr 28, 2021 at 13:43 comment added D.-C. Cisinski An abelian Grothendieck category has small colimits. If it is small, by the "uncheatable lemma" from this answer mathoverflow.net/a/365951/1017 it would a partially ordered set and an abelian category, hence equivalent to zero. In particular, it would be presentable, that is true, but for rather trivial reasons!
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Apr 28, 2021 at 14:34
Apr 28, 2021 at 13:10 history answered user197402 CC BY-SA 4.0