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Oct 4 at 0:05 comment added Noah Schweber @FrançoisG.Dorais Fixed by all automorphisms. (Equivalently, "$\mathcal{L}_{\omega_1,\omega}$-definable.") The point is that this is the hypothesis needed to unambiguously make sense of $R^B$ when $B$ is an isomorphic copy of $A$ but we haven't specified an isomorphism $A\cong B$.
Oct 4 at 0:02 comment added François G. Dorais Could you clarify precisely what you mean by 'automorphically-fixed`?
Oct 3 at 3:49 comment added Noah Schweber @FrançoisG.Dorais Fixed, thanks!
Oct 3 at 3:49 history edited Noah Schweber CC BY-SA 4.0
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Oct 2 at 23:04 history edited Noah Schweber CC BY-SA 4.0
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Jan 21 at 1:58 history edited Noah Schweber CC BY-SA 4.0
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S Jan 20 at 23:39 history bounty started Noah Schweber
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Jan 20 at 23:38 history edited Noah Schweber CC BY-SA 4.0
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Oct 22, 2019 at 3:26 history edited Bjørn Kjos-Hanssen CC BY-SA 4.0
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Oct 22, 2019 at 1:37 history edited Noah Schweber CC BY-SA 4.0
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Sep 27, 2019 at 5:38 history edited Noah Schweber CC BY-SA 4.0
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Sep 27, 2019 at 5:12 history edited Noah Schweber CC BY-SA 4.0
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Sep 24, 2019 at 16:58 history edited Noah Schweber CC BY-SA 4.0
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S Sep 24, 2019 at 16:47 history bounty started Noah Schweber
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Sep 20, 2019 at 17:49 history asked Noah Schweber CC BY-SA 4.0