Timeline for Bounded ball measure on compact metric space
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 26, 2019 at 20:32 | comment | added | ABIM | Hi Piotr, thanks I worked it out on the Tram home and indeed it is necessary. I just found it surprising since the paper of Ambrosio which it comes from treated the two cases separately. | |
| Jun 26, 2019 at 20:30 | vote | accept | ABIM | ||
| Jun 26, 2019 at 20:19 | comment | added | Piotr Hajlasz | @AIM_BLB The metric doubling condition is necessary. See Proposition 59 in Measure Theory that you can find here: sites.google.com/view/piotr-hajasz/teaching/… | |
| Jun 26, 2019 at 19:26 | comment | added | ABIM | Doubling property is definitely sufficient but I'm not sure it's necessary. Here c is given and fixed but I'm not requiring that the balls all be compared by the same doubling constant. For example, I think this should hold for the unit ball in $\ell^2$ which isn't doubling | |
| Jun 26, 2019 at 17:15 | review | First posts | |||
| Jun 26, 2019 at 17:21 | |||||
| Jun 26, 2019 at 17:11 | history | answered | user142382 | CC BY-SA 4.0 |