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Every three-point set is zero dimensional |
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| Authors: | David L Fearnley L Fearnley J W Lamoreaux |
| Institution: | 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  , there are  -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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