Multidimensional Stronger Central Sets Theorem and its Polynomial Extension
Combinatorics
2025-10-31 v3
Abstract
We establish and fully characterize the multidimensional extension of the Stronger Central Sets Theorem. Additionally, we develop a polynomial generalization of this result. Our approach utilizes tools from the Algebra of the Stone-\v{C}ech compactification of discrete semigroups. Several applications of these results are also discussed.
Cite
@article{arxiv.2405.07296,
title = {Multidimensional Stronger Central Sets Theorem and its Polynomial Extension},
author = {Sayan Goswami and Sourav Kanti Patra},
journal= {arXiv preprint arXiv:2405.07296},
year = {2025}
}