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Timeline for On convergence of convex bodies

Current License: CC BY-SA 3.0

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Oct 4, 2017 at 11:23 vote accept asv
Oct 4, 2017 at 11:23
Oct 3, 2017 at 17:34 answer added Mohammad Ghomi timeline score: 7
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Jan 9, 2016 at 8:05 comment added Włodzimierz Holsztyński For starters, it'd be nice to solve the 3-dim case, just the first question. This should be doable in 3-dim while examples already in 3-dim show that this is not too easy. (I still believe in n-dim at least for the first question).
Jan 4, 2016 at 23:11 comment added Włodzimierz Holsztyński Indeed, the 2nd q. is delicate.
Jan 4, 2016 at 15:09 comment added Pietro Majer Q2 seems true, but delicate. If $0$ belongs to a sharp edge of $K$ (say in 3D) , any small ball $\epsilon B$ around $0$ can be cut by a small translation of $K$, making non-contractible the intersection with $\partial (\epsilon B) $. So for sure $i(\epsilon)$ really depends on $\epsilon$.
Jan 4, 2016 at 14:26 comment added asv @PietroMajer: No, only $0\in \partial K$.
Jan 4, 2016 at 14:13 comment added Pietro Majer In Question 2 is $0\in\partial K_i$ still assumed ?
Jan 4, 2016 at 10:09 comment added Dirk Wlog you can assume that $K$ lies in the upper half plane. Isn't it clear that $\partial K\cap \epsilon S^{n-1}$ is the graph of a convex function for $\epsilon$ small enough, and doesn't this imply that you can contract along radial lines?
Jan 4, 2016 at 8:19 answer added Mikhail Katz timeline score: 2
Jan 3, 2016 at 16:35 history asked asv CC BY-SA 3.0