2020/01/08 by Angel D. Cruz, Cruz, Angel, Chun‐Kit Lai +3
Mathematics · #Advanced Algebra and Geometry #Mathematical Dynamics and Fractals #Advanced Topology and Set Theory
paper · pdf · doi:10.48550/arxiv.2001.02395
We show that for any infinite set A in \mathbb R, there exists a compact set E ⊆ ℝ of positive Lebesgue measure that does not contain any non-trivial affine copy of A. This proves the Erdös similarity conjecture.