Timeline for Analogy between metric space completion and algebraic closure
Current License: CC BY-SA 4.0
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Feb 6, 2019 at 22:04 | comment | added | Mike Shulman | Regarding terminology, MO points me to the following related question: mathoverflow.net/q/256382/49 which is about "Galois-initial" objects minus uniqueness of $h$ (which then requires specifying explicitly that it is an isomorphism). | |
Feb 6, 2019 at 20:58 | comment | added | Mike Shulman | I wouldn't be surprised if essentially this situation, or something very like it, has already been considered in categorical Galois theory, but I'm not sufficiently familiar with that literature to point to where. | |
Feb 6, 2019 at 20:56 | history | answered | Mike Shulman | CC BY-SA 4.0 |