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arXiv · 2010.04490

Maximal subsets free of arithmetic progressions in arbitrary sets

Aliaksei Semchankau
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Abstract

We consider the problem of determining the maximum cardinality of a subset containing no arithmetic progressions of length $k$ in a given set of size $n$. It is proved that it is sufficient, in a certain sense, to consider the interval $[1,\dots, n]$. The study continues the work of Komlós, Sulyok, and Szemerédi.

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Aliaksei Semchankau. 2020-10-09. Maximal subsets free of arithmetic progressions in arbitrary sets. https://doi.org/10.1134/s0001434617090097

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