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On a Problem of Erdos on Sequences and Measurable Sets
Proceedings of the American Mathematical Society
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.doi:10.2307/2044671 fatcat:moadskkibvftrebwdglfll6nre