A VISIT TO THE ERDOS PROBLEM

Authors
HUMKE PD LACZKOVICH M
Citation
Pd. Humke et M. Laczkovich, A VISIT TO THE ERDOS PROBLEM, Proceedings of the American Mathematical Society, 126(3), 1998, pp. 819-822
Citations number
10
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
126
Issue
3
Year of publication
1998
Pages
819 - 822
Database
ISI
SICI code
0002-9939(1998)126:3<819:>2.0.ZU;2-R
Abstract
Erdos asked if for every infinite set, A, of real numbers there exists a measurable subset of the reals having positive measure that does no t contain a subset similar to A. In this note we transform this questi on to a finite combinatorial problem. Using this translation we extend some results of Eigen and Falconer concerning slow sequences for whic h the answer to Erdos' question is positive.