A Study Of Some Generalized Central Sets Theorem Along Phulara's Way
Combinatorics
2025-06-03 v3
Abstract
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.
Keywords
Cite
@article{arxiv.2207.01247,
title = {A Study Of Some Generalized Central Sets Theorem Along Phulara's Way},
author = {Sujan Pal and Jyotirmoy Poddar},
journal= {arXiv preprint arXiv:2207.01247},
year = {2025}
}
Comments
We corrected some mistakes in the proofs. It is accepted for publication