Is there a symmetric version of Hindman's Theorem?

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:142

Article

Akin, Ethan¹  Glasner, Eli² 

[1] CUNY City Coll, Dept Math, 137 St & Convent Ave, New York, NY 10031 USA

[2] Tel Aviv Univ, Dept Math, Ramat Aviv, Israel

关键词: Ramsey theorem;    Hindman theorem;    Difference sets;    IP-sets;    SIP-sets;    Mild mixing;   

DOI  :  10.1016/j.jcta.2016.03.002

来源: Elsevier

【 摘 要 】

We show that there does not exist a symmetric version of Hindman's Theorem, or more explicitly, that the property of containing a symmetric IP-set is not divisible. We consider several related dynamics questions. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free