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Mar 16, 2020 at 18:09 comment added Simon Henry of course, but given that the question quote Palmgren & Vickers' paper, I assume this was considered as known.
Mar 16, 2020 at 16:01 comment added Paul Taylor This is strictly speaking the correct answer, but to be more informative one should add that the theory of small categories is an essentially algebraic theory. ncatlab.org/nlab/show/essentially+algebraic+theory
Mar 15, 2020 at 0:23 vote accept varkor
Mar 15, 2020 at 0:04 history answered Simon Henry CC BY-SA 4.0