Timeline for Connectedness of the set having a fixed distance from a closed set 2
Current License: CC BY-SA 4.0
6 events
when toggle format | what | by | license | comment | |
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Dec 12, 2020 at 0:49 | vote | accept | M. Rahmat | ||
Dec 11, 2020 at 18:00 | comment | added | M. Rahmat | The complement of $F$ must be connected. Is this the case here? | |
Dec 11, 2020 at 7:28 | comment | added | Nate Eldredge | Or in $n=2$, an almost-complete arc of a circle, together with some ray heading to infinity to make it unbounded. | |
Dec 11, 2020 at 7:11 | answer | added | Anthony Quas | timeline score: 3 | |
Dec 11, 2020 at 7:05 | comment | added | Anthony Quas | How about $n=3$, $F$ consists of the $x$-axis from $-\infty$ to $-2$ followed by a 0.1-dense continuous curve on the sphere of radius 2 about the origin followed by a line from 2 to $\infty$; and $\delta=1$. There is a component of $A$ inside the sphere (close to the unit sphere) and there is a component outside the sphere. | |
Dec 11, 2020 at 6:50 | history | asked | M. Rahmat | CC BY-SA 4.0 |