A framework for constructing sets without configurations

Robert Fraser

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arXiv · 1810.01219

A framework for constructing sets without configurations

Robert Fraser

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Abstract

We discuss a framework for constructing large subsets of $\mathbb{R}^n$ and $K^n$ for non-archimedean local fields $K$. This framework is applied to obtain new estimates for the Hausdorff dimension of angle-avoiding sets and to provide a counterexample to a limiting version of the Capset problem.

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Robert Fraser. 2018-10-02. A framework for constructing sets without configurations. https://arxiv.org/abs/1810.01219

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