Timeline for Is there any geometry where the triangle inequality fails?
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
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| Jun 5, 2023 at 20:14 | comment | added | ABIM | @paulgarrett Right by virtue of the concavity of $t\mapsto t^p$ eh. | |
| Oct 10, 2019 at 21:39 | comment | added | paul garrett | It might be worth noting, though, that in the space $\ell^p$ with $0<p<1$, if we don't take $p$th roots in defining the norm, then the triangle inequality still does hold. | |
| Aug 5, 2010 at 10:04 | vote | accept | Unknown | ||
| Apr 30, 2010 at 15:45 | comment | added | Sergei Ivanov | There are also similarly defined quasi-metrics, I've seen at least one paper that uses them as a tool. | |
| Apr 30, 2010 at 15:36 | history | answered | gowers | CC BY-SA 2.5 |