The Hadwiger Number of Jordan Regions is Unbounded

We show that for every n > 0 there is a planar topological disk A0 and n translates A1, A2, . . . , An of A0 such that the interiors of A0, . . . An are pairwise disjoint, but with each Ai touching A0 for 1 i n.

• Type: Journal
• Year: 2007
• Where: CORR
• Authors: Otfried Cheong, Mira Lee
• Keywords: CORR 2007, Education, Pairwise Disjoint, Planar Topological Disk, Topological