Timeline for The Weak Besicovitch Covering Property and the Lebesgue Differentation Property
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 16, 2023 at 18:09 | audit | Low quality posts | |||
| Sep 16, 2023 at 19:58 | |||||
| Sep 5, 2023 at 21:41 | audit | Reopen votes | |||
| Sep 5, 2023 at 21:43 | |||||
| Sep 1, 2023 at 15:12 | vote | accept | Grace53 | ||
| Aug 25, 2023 at 11:45 | audit | Low quality posts | |||
| Aug 25, 2023 at 11:46 | |||||
| Aug 22, 2023 at 22:20 | answer | added | M W | timeline score: 1 | |
| Aug 22, 2023 at 20:27 | comment | added | M W | Sorry, that last comment should have had that if the radii form a set like $\{1-1/2^n\}$, then its potentially a problem for transfinite induction. | |
| Aug 22, 2023 at 20:16 | comment | added | M W | Also, once we establish whatever additional assumptions are necessary, I'd say that the condition WBCP2 that the radii must be discrete strikes me as maybe too weak. In the case the radii are bounded (unboundedness is trivial), you probably want $\{r_B\}$ to form a decreasing sequence so you can use a transfinite induction argument that respects $r_B$. So if the radii form a set like $\{1+1/2^n\}$ then that would be tough to pull off. But who knows, maybe they do some magic. | |
| Aug 22, 2023 at 20:04 | comment | added | M W | Ok, we might need additional assumptions and/or clarifications. If I'm allowed to take the closed ball of radius $1/2$ around all the points of an uncountable discrete space of points separated by distance $1$, then that seems to contradict the proposition, since said space has WBPC1 with $K=1$. I might be missing something though. | |
| Aug 22, 2023 at 15:58 | comment | added | Dave L. Renfro | Probably best to send Preiss an email or use interlibrary loan (I've seen this series of books in many U.S. libraries). For what it's worth, I wasn't able to find it either, but the earlier volumes of this book/conference series are available here. I thought it might be in this book, but it doesn't appear to be here (only cited), at least I couldn't find it in my (hard)copy of the book. | |
| Aug 22, 2023 at 15:18 | history | asked | Grace53 | CC BY-SA 4.0 |