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Every three-point set is zero dimensional.

Authors :
David L. Fearnley
L. Fearnley
J. W. Lamoreaux
Source :
Proceedings of the American Mathematical Society; 2002, Vol. 131 Issue 7, p2241-2245, 5p
Publication Year :
2003

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
MATHEMATICS
SET theory

Details

Language :
English
ISSN :
00029939
Volume :
131
Issue :
7
Database :
Complementary Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
10039349
Full Text :
https://doi.org/10.1090/S0002-9939-03-06432-3