Timeline for A continuous version of Carathéodory's convex hull theorem
Current License: CC BY-SA 4.0
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| Feb 29 at 17:28 | comment | added | Mohammad Ghomi | In this example the family of curves appear to be continuous only with respect to the Hausdorff distance, since one of the curves is actually closed. In the problem I had in mind, the family of curves are continuous with respect to the C^1 norm as maps from an interval to R^n. So I do not see that the example you mention works in the sense that I intended. I will make the notion of continuity more explicit in the question. | |
| Feb 29 at 3:53 | history | answered | Anton Petrunin | CC BY-SA 4.0 |