Keywords
three-point set, zero dimensional
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.
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). Faculty Publications. 516.
https://scholarsarchive.byu.edu/facpub/516
Document Type
Peer-Reviewed Article
Publication Date
2003-01-28
Permanent URL
http://hdl.lib.byu.edu/1877/1482
Publisher
The American Mathematical Society
Language
English
College
Physical and Mathematical Sciences
Department
Mathematics
Copyright Status
© 2003 American Mathematical Society
Copyright Use Information
http://lib.byu.edu/about/copyright/