论文标题
较强的中央集合定理的多项式扩展
Polynomial extension of the Stronger Central Sets Theorem
论文作者
论文摘要
在[F81]中，Furstenberg介绍了中央集合的概念，并确立了他著名的中央定理。从那时起，已经发现了Furstenberg的几个改进版本。 DE，Hindman和Strauss在[DHS08]中发表了最强的概括，而Bergelson，Johnson和Moreira的多项式扩展出现在[BJM17]中。在本文中，我们将建立更强版本的中央集合定理的多项式扩展，我们将讨论集合家族的属性，该结果将导致考虑
In [F81] Furstenberg introduced the notion of central set and established his famous Central Sets Theorem. Since then, several improved versions of Furstenberg's result have been found. The strongest generalization has been published by De, Hindman and Strauss in [DHS08], whilst a polynomial extension by Bergelson, Johnson and Moreira appeared in [BJM17]. In this article, we will establish a polynomial extension of the stronger version of the central sets theorem, and we will discuss properties of the families of sets that this result leads to consider
