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Jan 5, 2020 at 10:36 answer added Jiří Rosický timeline score: 3
Jan 3, 2020 at 23:12 comment added Tim Campion @RobertFurber Thanks, fixed! That was a particularly pernicious error since the theorem you're referring to -- the fact that a category $C$ and its opposite can't both be locally presentable unless $C$ is a preorder -- is in some sense the big obstruction that the whole question is dancing around!
Jan 3, 2020 at 23:06 history edited Tim Campion CC BY-SA 4.0
deleted 9 characters in body
Jan 3, 2020 at 18:15 comment added Robert Furber I think you've made a slip-up in the last paragraph - $\mathbf{Hilb}$ is $\aleph_1$-accessible, but not locally $\aleph_1$-presentable, nor locally $\kappa$-presentable for any cardinal $\kappa$, on account of the fact that it is self-dual and not a preorder.
Jan 3, 2020 at 6:38 history became hot network question
Jan 2, 2020 at 23:11 comment added Tim Campion I've accepted Ivan's answer, which addresses the title question and hence also the first and last bullet points, but I'd be very interested in seeing more examples.
Jan 2, 2020 at 23:09 vote accept Tim Campion
Jan 2, 2020 at 22:54 answer added Ivan Di Liberti timeline score: 10
Jan 2, 2020 at 22:37 history asked Tim Campion CC BY-SA 4.0