Timeline for Infinite Fano planes
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Oct 29, 2017 at 17:45 | comment | added | Andreas Blass | The lack of uniqueness is established (with room to spare) by Alex Kruckman's answer, but here's another, more combinatorial way to prove it. Given the projective plane over a field (as an abstract structure), one can recover the field up to isomorphism. Since there are plenty of non-isomorphic fields of any infinite cardinality (different characteristics, algebraically closed or not), you get plenty of non-isomorphic projective planes by Pooter's construction. | |
| Oct 26, 2017 at 12:32 | comment | added | Pooter | I don't know anything about this topic, but I will guess the answer to the uniqueness question is "no", and maybe one can use non-Desarguesian planes to prove it. Good luck! | |
| Oct 26, 2017 at 12:09 | comment | added | Dominic van der Zypen | Maybe you also see a solution to the "uniqueness" sequel of this question: mathoverflow.net/questions/284454/… | |
| Oct 26, 2017 at 12:07 | history | edited | Pooter | CC BY-SA 3.0 |
added 3 characters in body
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| Oct 26, 2017 at 11:58 | vote | accept | Dominic van der Zypen | ||
| Oct 26, 2017 at 11:58 | history | answered | Pooter | CC BY-SA 3.0 |