Geodesic
Polynomial extension of the stronger central sets theorem
Sayan Goswami1 ; Lorenzo Luperi Baglini2 ; Sourav Kanti Patra3
1The Institute of Mathematical Sciences
2University of Milan
3Department of Mathematics, Centre for Distance and Online Education, University of Burdwan
The electronic journal of combinatorics, Tome 30 (2023) no. 4
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In [F81] Furstenberg introduced the notion of central set and established his famous Central Sets Theorem. Since then, several improved versions of Furstenberg's result have been found. The strongest generalization has been published by De, Hindman and Strauss in [DHS08], whilst a polynomial extension by Bergelson, Johnson and Moreira appeared in [BJM17]. In this article, we will establish a polynomial extension of the stronger version of the central sets theorem, and we will discuss properties of the families of sets that this result leads to consider.
DOI : 10.37236/11556
Classification : 05D10, 05D05, 22A15
Mots-clés : Ramsey theory, van der Waerden's theorem, Hindman's theorem

Sayan Goswami  1   ; Lorenzo Luperi Baglini  2   ; Sourav Kanti Patra  3

1 The Institute of Mathematical Sciences
2 University of Milan
3 Department of Mathematics, Centre for Distance and Online Education, University of Burdwan 
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Sayan Goswami; Lorenzo Luperi Baglini; Sourav Kanti Patra. Polynomial extension of the stronger central sets theorem. The electronic journal of combinatorics, Tome 30 (2023) no. 4. doi: 10.37236/11556

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