On a conjecture of Marton

• 成果类型: Article
• 署名作者: Gowers, W. T.; Green, Ben; Manners, Freddie; Tao, Terence
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2025.201.2.5
• 发表日期: 2025
• 页码: 515-549
• 关键词: freimans theorem; set; EQUIVALENCE; sumset

摘要

We prove a conjecture of K. Marton, widely known as the polynomial Freiman-Ruzsa conjecture, in characteristic 2. The argument extends to odd characteristic, with details to follow in a subsequent paper.