Erdős相似猜想的一个证明
经典分析与常微分方程
2020-01-14 v2 组合数学
摘要
我们证明，对于中的任意无限集，存在一个正勒贝格测度的紧集，其不包含的任何非平凡仿射副本。这证明了Erdős相似猜想。
引用
@article{arxiv.2001.02395,
title = {A proof of the Erd\"os similarity conjecture},
author = {Angel Cruz and Chun-Kit Lai and Malabika Pramanik},
journal= {arXiv preprint arXiv:2001.02395},
year = {2020}
}
备注
A gap was found in Proposition 3.3 of the paper. We would like to thank professor Vjekoslav Kovac for pointing this out. Therefore, we would like to withdraw the paper