three-point set, zero dimensional
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.
Original Publication Citation
Fearnely, David L., Fearnley, L., Lamoreaux, J. W., Every three-point set is zero dimensional, Proc. Amer. Math. Soc. 131 (23), 2241-2245.
BYU ScholarsArchive Citation
Fearnley, David L.; Lamoreaux, J. W.; and Fearnley, David L., "Every three-point set is zero dimensional" (2003). All Faculty Publications. 516.
The American Mathematical Society
Physical and Mathematical Sciences
© 2003 American Mathematical Society
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