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arXiv cs/0702079cs.CGmath.MG
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Jordan区域的Hadwiger数是无界的

The Hadwiger Number of Jordan Regions is Unbounded

Otfried Cheong, Mira Lee

摘要:

我们证明了:对任意n > 0,存在平面拓扑圆盘A_0,n平移A_1,A_2,.,A_0的A_n使得A_0,. A_n是两两不相交的,但每个A_i都接触A_0,其中1 <= i <= n。

英文摘要:

We show that for every n > 0 there is a planar topological disk A_0 and n translates A_1, A_2, ..., A_n of A_0 such that the interiors of A_0, ... A_n are pairwise disjoint, but with each A_i touching A_0 for 1 <= i <= n.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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