Timeline for How many times line segments can intersect a Jordan curve?
Current License: CC BY-SA 3.0
9 events
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| Apr 13, 2017 at 12:19 | history | edited | CommunityBot |
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| Jun 20, 2012 at 12:20 | answer | added | Per Alexandersson | timeline score: 0 | |
| Jun 19, 2012 at 19:34 | comment | added | George Lowther | Given any modulus of continuity, you can construct the jordan curve in such a way that every curve with the given modulus of continuity joininng the inside of the region to the outside intersects the Jordan curve infinitely often. So you can replace "line segment" by Lipschitz continuous curve or Holder continuous curve if you like. | |
| Jun 19, 2012 at 19:34 | comment | added | Ian Agol | See my icon for an example. | |
| Jun 19, 2012 at 19:22 | vote | accept | Jaakko Seppälä | ||
| Jun 19, 2012 at 19:06 | answer | added | Anton Petrunin | timeline score: 15 | |
| Jun 19, 2012 at 18:56 | comment | added | George Lowther | Take a circle. Then modify it by deforming the curve into a sequence of interlocking hooks, a bit like a zip. Then repeat this procedure with smaller hooks, and repeat so that the curve approaches a fractal. That will give you an example. | |
| Jun 19, 2012 at 17:12 | history | edited | Jaakko Seppälä | CC BY-SA 3.0 |
edited title
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| Jun 19, 2012 at 17:07 | history | asked | Jaakko Seppälä | CC BY-SA 3.0 |