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

Fuente: arXiv
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Autores principales: Pal, Sujan, Poddar, Jyotirmoy
Formato: Preprint
Publicado: 2022
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author Pal, Sujan
Poddar, Jyotirmoy
author_facet Pal, Sujan
Poddar, Jyotirmoy
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2207_01247
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle A Study Of Some Generalized Central Sets Theorem Along Phulara's Way
Pal, Sujan
Poddar, Jyotirmoy
Combinatorics
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.
title A Study Of Some Generalized Central Sets Theorem Along Phulara's Way
topic Combinatorics
url https://arxiv.org/abs/2207.01247