Timeline for Algebraically closed fields of positive characteristic
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 27, 2010 at 1:53 | comment | added | Gerald Edgar | $\mathbb{C}(X)$ embeds into $\mathbb{C}$ ... but is the Axiom of Choice required to prove it? | |
| Feb 26, 2010 at 19:38 | comment | added | LSpice | John, one of my favourite applications of this is that $\mathbb C(X)$ embeds into $\mathbb C$. A great true/false question for an algebra exam! | |
| Nov 1, 2009 at 14:56 | comment | added | Peter Arndt | Wow, that matroid point of view is very nice - I had never heard of someone thinking about it like that | |
| Oct 31, 2009 at 19:50 | comment | added | John Goodrick | Really, "no geometry"? I realize this is very subjective, but the idea of proving that algebraically closed fields have a matroid structure feels very "geometric" to me, since it reminds me of the canonical matroids that arise from projective and affine spaces. | |
| Oct 31, 2009 at 16:48 | comment | added | Ben Webster♦ | John, the reason model theorists like this result and geometers don't is that there's no geometry in it. Well, that and it's wildly non-canonical. | |
| Oct 31, 2009 at 16:03 | comment | added | Harrison Brown | It's a good point, and I've seen the result, but I really only need one example... :) | |
| Oct 31, 2009 at 15:44 | history | answered | John Goodrick | CC BY-SA 2.5 |