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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On a problem of Erdős on sequences and measurable sets


Author: K. J. Falconer
Journal: Proc. Amer. Math. Soc. 90 (1984), 77-78
MSC: Primary 28A75; Secondary 11K55
MathSciNet review: 722418
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Abstract: Erdös has conjectured that given a decreasing sequence of real numbers convergent to 0 there always exists a measurable set of positive measure that contains no similar copy of the sequence. We prove this conjecture if the sequence does not converge too rapidly.


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DOI: https://doi.org/10.1090/S0002-9939-1984-0722418-0
Article copyright: © Copyright 1984 American Mathematical Society