Timeline for Accessible points of a simply connected domain
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Jul 20 at 14:00 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Mar 22 at 13:09 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Feb 21 at 12:34 | answer | added | inyo | timeline score: 1 | |
| Feb 17 at 5:51 | comment | added | Factorial_zero | Yes, thank you Sir @Moishe Kohan. Now I understand the possible picture of a simply connected domain so that there are points on the boundary which are not accessible. | |
| Feb 17 at 5:50 | comment | added | Moishe Kohan | Right. But you have to take the graph of $\sin(1/x)$ for all nonzero values of $x$ (not just the positive ones). Then points $(0,y)$, $-1<y<1$, are not accessible. Caratheodory's book on conformal maps discusses accessibility in great detail. | |
| Feb 17 at 5:48 | comment | added | Factorial_zero | I understand, in that case the points on the imaginary axis (such that imaginary part is bounded by -1 and 1) are not accessible. Am I correct @Moishe Kohan ? | |
| Feb 17 at 5:43 | comment | added | Moishe Kohan | Hint: Consider the topologist's sine curve | |
| Feb 17 at 5:40 | history | edited | Factorial_zero | CC BY-SA 4.0 |
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| Feb 17 at 4:59 | history | asked | Factorial_zero | CC BY-SA 4.0 |