Timeline for Permute Wada Lakes keeping the coastline intact? (still open in dim >2)
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 17, 2012 at 20:45 | history | edited | David White | CC BY-SA 3.0 |
Texified
|
| Aug 13, 2010 at 20:17 | vote | accept | Andrey Gogolev | ||
| Aug 13, 2010 at 20:17 | history | bounty ended | Andrey Gogolev | ||
| Aug 10, 2010 at 0:39 | comment | added | Andrey Gogolev | Victor, staits are not the long channels that are responsible for the "common boundary feature". Straits are short channels that are being dug to make sure that lakes are connected. | |
| Aug 9, 2010 at 20:45 | comment | added | Victor Protsak | I can't follow your procedure. In the standard construction of the lakes of Wada, at stage $n$ one of the lakes ($n$ mod 3) is enlarged by digging channels so that it comes within $a_n$ of each dry point on the island ($a_n\to 0$). If, as you say, the red and green straights all lie outside of U, then P will not be on the boundary of red and green lakes, which contradicts the Wada property. Are you somehow separating the lakes into "straights" and "channels" at every stage? | |
| Aug 9, 2010 at 20:12 | comment | added | Andrey Gogolev | Thank you, I like this one even better. After your answers I imagine one can come up with various local obstructions near a fixed point P. | |
| Aug 9, 2010 at 11:49 | history | edited | André Henriques | CC BY-SA 2.5 |
added 56 characters in body
|
| Aug 9, 2010 at 11:40 | history | answered | André Henriques | CC BY-SA 2.5 |