Timeline for Given 2 towers of fields, when are these fields isomorphic?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Sep 6, 2011 at 3:38 | comment | added | JSpecter | Both $\mathbb{C}(X)$ and $\mathbb{C}$ have the same transcendence degree over $\mathbb{Q},$ so there exists an isomorphism between their algebraic closures. Restricting this isomorphism to $\mathbb{C}(X)$ gives the desired injection. | |
| Sep 6, 2011 at 3:22 | comment | added | Bill Cook | Thanks! I guess my "sketch" of a "proof" was flawed. What is this injection from rational functions into the complex numbers? I guess I'm not familiar with that example. | |
| Sep 6, 2011 at 3:20 | vote | accept | Bill Cook | ||
| Sep 6, 2011 at 1:28 | history | edited | JSpecter | CC BY-SA 3.0 |
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| Sep 6, 2011 at 1:17 | history | edited | JSpecter | CC BY-SA 3.0 |
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| Sep 6, 2011 at 1:06 | history | answered | JSpecter | CC BY-SA 3.0 |