Large sets avoiding linear patterns
- 16 July 2021
- journal article
- research article
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
- Vol. 149 (10), 4057-4066
- https://doi.org/10.1090/proc/13959
Abstract
We prove that for any dimension function h with h < x(d) and for any countable set of linear patterns, there exists a compact set E with H-h( E) > 0 avoiding all the given patterns. We also give several applications and recover results of Keleti, Maga, and Mathe..Keywords
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Funding Information
- Universidad de Buenos Aires (UBACyT 2014-2017 20020130100403BA, PIP 11220110101018)
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