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.