Timeline for Is there any geometry where the triangle inequality fails?
Current License: CC BY-SA 2.5
7 events
when toggle format | what | by | license | comment | |
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Jun 17, 2020 at 16:06 | comment | added | tomasz | Really? If you just put $d=0$, then this is clearly true, no matter how many points you have. But I guess assuming $d$ has non-negative values (in an ordered abelian group) and that $d(a,a)=0$ for all $a$, $d=0$ is the only solution. | |
May 10, 2010 at 12:29 | vote | accept | Unknown | ||
Aug 5, 2010 at 10:03 | |||||
Apr 30, 2010 at 21:21 | comment | added | LSpice | I'm pretty sure that, in one of the trivia anthologised in “Lion-hunting and other mathematical pursuits” (amazon.com/Lion-Hunting-Other-Mathematical-Pursuits/dp/…), Boas assigns a name to the hapless lecturer. (I don't have my copy of the book to hand, and so can't check.) | |
Apr 30, 2010 at 18:53 | comment | added | Andrew Stacey | I wonder how old that story is. I certainly heard it when a graduate student in Warwick 'round about 2000 (and the person telling it claimed that the researcher was a former graduate student that they knew). | |
Apr 30, 2010 at 16:12 | comment | added | Qiaochu Yuan | This sounds a lot like the story of the grad student who wrote his thesis on the properties of Holder-continuous functions with $\alpha > 1$. (The only such functions are the constant functions!) | |
Apr 30, 2010 at 15:08 | comment | added | Mariano Suárez-Álvarez | That serves as a great cautionary tale appropriate to tell my students after I suggest that they consider two examples of everything! | |
Apr 30, 2010 at 14:56 | history | answered | Tom Smith | CC BY-SA 2.5 |