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On Removing a Ball without Disturbing the Others

by Robert Dawson (Dalhousie University)

This article originally appeared in:
Mathematics Magazine
January, 1984

Subject classification(s): Geometry and Topology | Solid Geometry
Applicable Course(s): 4.9 Geometry

Any collection of \(m\) balls in \(\Re^n\), intersecting in at most their boundaries, has at least min\((m,n+1)\) members that can be moved without disturbing the others.

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