Timeline for radius-diameter relationship of balls in metric spaces
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Aug 29 at 1:07 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Jul 30 at 0:16 | answer | added | Joseph Van Name | timeline score: 1 | |
| Jul 29 at 16:28 | comment | added | user44191 | @user479223 That is not sufficient; consider the half-line. The function $d(x, \cdot)$ has range equal to $[0, \infty)$ for all $x$, but the open ball of radius $r$ around $0$ has diameter $r$. | |
| Jul 29 at 16:27 | comment | added | user44191 | Without specifying what kind of conditions you want, there's the trivial necessary and sufficient condition of just restating the condition itself. What kind of conditions are you looking for? | |
| Jul 29 at 14:56 | comment | added | user479223 | One necessary condition is that the range of possible distances is dense in $[0,\infty)$. | |
| Jul 29 at 13:48 | review | Close votes | |||
| Aug 13 at 3:08 | |||||
| S Jul 29 at 13:22 | review | First questions | |||
| Jul 29 at 13:31 | |||||
| S Jul 29 at 13:22 | history | asked | Wēr | CC BY-SA 4.0 |