Timeline for Representability of matroids over $\mathbb R$
Current License: CC BY-SA 2.5
11 events
| when toggle format | what | by | license | comment | |
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| Jul 28, 2021 at 16:46 | history | edited | Tony Huynh |
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| Jun 22, 2015 at 7:32 | vote | accept | Andreas Thom | ||
| Jan 5, 2013 at 13:14 | answer | added | Camilo Sarmiento | timeline score: 2 | |
| Dec 4, 2010 at 0:03 | answer | added | Igor Pak | timeline score: 10 | |
| Dec 3, 2010 at 16:27 | comment | added | Thierry Zell | @Tony: Oh, I see, it's one of those where do you place the quantifier things again! Thanks for the clarification. | |
| Dec 3, 2010 at 16:07 | comment | added | Andreas Thom | @Joseph: I knew about the result, but do not know what to do with it. It somehow shows that the class of excluded minors is huge. In my opinion, it seems to show that any answer to my question must either be of very limited generality or use quite different methods (i.e. for example not speak about minors at all.). | |
| Dec 3, 2010 at 15:56 | comment | added | Tony Huynh | @Thierry: A matroid is called regular if it representable over every field. Andreas is saying that the set of excluded-minors for regular matroids is known and finite, while the set of excluded minors for just real-representability is infinite. | |
| Dec 3, 2010 at 15:51 | answer | added | Tony Huynh | timeline score: 11 | |
| Dec 3, 2010 at 15:32 | comment | added | Joseph O'Rourke | @Andreas: Are you familiar with Geelen's conjecture? That if $M$ is matroid representable over $\mathbb{R}$, then there is an excluded minor $M'$ for real-reprensentability such that $M$ is a minor of $M'$. It was established by Mayhew, Newman, & Whittle. temple.birs.ca/~09w5103/mayhew_09w5103_talk.pdf | |
| Dec 3, 2010 at 15:26 | comment | added | Thierry Zell | Either I'm misreading or you left out something, but it sounds like you're saying that $\mathbb{R}$ is not a field. | |
| Dec 3, 2010 at 15:12 | history | asked | Andreas Thom | CC BY-SA 2.5 |