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Every three-point set is zero dimensional
Authors:David L. Fearnley   L. Fearnley   J. W. Lamoreaux
Affiliation:Department of Mathematics, Utah Valley State College, Orem, Utah 84058 ; Department of Mathematics, Brigham Young University, Provo, Utah 84602

J. W. Lamoreaux ; Department of Mathematics, Brigham Young University, Provo, Utah 84602

Abstract: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.

Keywords:$n$-point set   zero dimensonal
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