Timeline for Is there a name for the class of metric spaces such that the closure of the open ball of radius $r$ around each point $x$ is the set of elements $y$ such that $d(x,y)\leq r$ ?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 1, 2011 at 20:29 | vote | accept | Valerio Capraro | ||
| Sep 7, 2011 at 16:14 | comment | added | LSpice | So would a space that does not have this property be called 'pitiful'? | |
| Sep 7, 2011 at 10:28 | comment | added | Emil Jeřábek | Sounds wordy. Pitless? ~~~~ | |
| Sep 7, 2011 at 9:13 | comment | added | Valerio Capraro | This equivalent condition is interesting. At the beginning it looks some kind of convexity, but it is not: also concave subspace of $\mathbb R^2$ can have that property, if the concaveness is not too strong. This property says that I can move from a point towards another point without getting back. How can I call this space? Let's try.. "spaces with no pits". How does that sound? | |
| Sep 6, 2011 at 16:58 | comment | added | Valerio Capraro | nice discussion! | |
| Sep 6, 2011 at 15:24 | history | answered | David White | CC BY-SA 3.0 |