论文标题

对沿Phulara的一些广义中心定理的研究

A Study Of Some Generalized Central Sets Theorem Along Phulara's Way

论文作者

Pal, Sujan, Poddar, Jyotirmoy

论文摘要

辛德曼和领导人最初证明了中央定理的中央定理。后来,DE,Hindman和Strauss证明了Central Sets Theorem的版本,被称为更强的中央定理。随后,许多其他版本的中央集合定理出现了,其中Dev Phulara证明了定理的一系列中央集合,而不是采用一组。在本文中,我们通过一些Ramsey理论应用沿Dev Phulara的方式提供了各种定理的一般版本。

The Central Sets Theorem near zero was originally proved by Hindman and Leader. Later a version of Central Sets Theorem was proved by De, Hindman and Strauss known to be the stronger Central Sets Theorem. Subsequently many other versions of Central Sets Theorem came, among which Dev Phulara proved the theorem for a sequence of central sets instead of taking one set. In this paper, we provide various general versions of the theorem along Dev Phulara's way with some Ramsey theoretic applications.

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