Timeline for Algebraicity of the completion of a field? Finiteness?
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
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| Jan 30, 2010 at 0:21 | comment | added | Pete L. Clark | Yes, certainly. The entire theory of transcendental field extensions as we know it depends heavily on AC. It is consistent with ZF that the only automorphisms of the complex numbers are the identity and complex conjugation. I've used Zorn's Lemma several times in my lectures already. | |
| Jan 30, 2010 at 0:11 | comment | added | D. Savitt | Boy oh boy, does it ever! But probably Scott's does too, since you need to construct non-obvious automorphisms of C? | |
| Jan 30, 2010 at 0:01 | comment | added | Dror Speiser | Does this answer depend on the axiom of choice? | |
| Jan 29, 2010 at 21:25 | comment | added | Pete L. Clark | +1 to you too, Dave. | |
| Jan 29, 2010 at 16:45 | history | edited | D. Savitt | CC BY-SA 2.5 |
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| Jan 29, 2010 at 16:36 | history | answered | D. Savitt | CC BY-SA 2.5 |