Multidimensional Stronger Central Sets Theorem and its Polynomial Extension
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914122369597440 |
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| author | Goswami, Sayan Patra, Sourav Kanti |
| author_facet | Goswami, Sayan Patra, Sourav Kanti |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_07296 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multidimensional Stronger Central Sets Theorem and its Polynomial Extension Goswami, Sayan Patra, Sourav Kanti Combinatorics 05D10, 05C55, 22A15, 54D35 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. |
| title | Multidimensional Stronger Central Sets Theorem and its Polynomial Extension |
| topic | Combinatorics 05D10, 05C55, 22A15, 54D35 |
| url | https://arxiv.org/abs/2405.07296 |