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Every Three-Point Set Is Zero Dimensional
David L. Fearnley, L. Fearnley and J. W. Lamoreaux
Proceedings of the American Mathematical Society
Vol. 131, No. 7 (Jul., 2003), pp. 2241-2245
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/1194044
Page Count: 5
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This paper answers a question of Jan J. Dijkstra by giving a proof that all three-point sets are zero dimensional. It is known that all two-point sets are zero dimensional, and it is known that for all
$n>3$, there are n-point sets which are not zero dimensional, so this paper answers the question for the last remaining case.
Proceedings of the American Mathematical Society © 2003 American Mathematical Society