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Nov 29, 2020 at 19:51 comment added Noah Schweber I've asked my comment as a follow-up question.
Nov 29, 2020 at 19:19 vote accept Noah Schweber
Nov 29, 2020 at 6:44 comment added Noah Schweber That's gorgeous, thanks! (I'll accept it when I've had time to read it when I'm not about to sleep.) Incidentally, this raises a followup question: is there a computable-dimension-$\omega$ structure with a computable enumeration of representatives of its computable isomorphism types (that is, a computable sequence $(n_i)_{i\in\omega}$ such that each computable copy is computably isomorphic to a structure with index $n_i$ for some $i$)? Such a structure would also be non-productive, but very differently from your example.
Nov 29, 2020 at 6:32 history answered Dan Turetsky CC BY-SA 4.0