IR-MO 2007 Problem 7
A ring is the area between two circles with the same center, and width of a ring is the difference between the radii of two circles.
a) Can we put uncountable disjoint rings of width 1(not necessarily same) in the space such that each two of them can not be separated.
b) What's the answer if 1 is replaced with 0?
Dataset text AI-MO AoPS. Quoted with source.
Solutions
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