MathDB
IMC 1998 Problem 11

Source: IMC 1998 Day 2 Problem 5

October 28, 2020
Countable

Problem Statement

SS is a family of balls in Rn\mathbb{R}^{n} (n>1n > 1) such that the intersection of any two contains at most one point. Show that the set of points belonging to at least two members of SS is countable.
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