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arXiv · 2405.07296

Multidimensional Stronger Central Sets Theorem and its Polynomial Extension

Sayan Goswami·Sourav Kanti Patra
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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-Čech compactification of discrete semigroups. Several applications of these results are also discussed.

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Sayan Goswami, Sourav Kanti Patra. 2025-10-30. Multidimensional Stronger Central Sets Theorem and its Polynomial Extension. https://arxiv.org/abs/2405.07296

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