Foundations of iterated star maps and their use in combinatorics

Foundations of iterated star maps and their use in combinatorics

We develop a framework for nonstandard analysis that gives foundations to the interplay between external and internal iterations of the star map, and we present a few examples to show the strength and flexibility of such a nonstandard technique for applications in combinatorial number theory.

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Veröffentlicht in:Annals of pure and applied logic 2025-01, Vol.176 (1), p.103511, Article 103511
Hauptverfasser: Di Nasso, Mauro, Jin, Renling
Format: Artikel
Sprache:eng
Schlagworte:
Combinatorial number theory
Iterated star maps
Nonstandard analysis
Ramsey theory
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Beschreibung
Zusammenfassung:We develop a framework for nonstandard analysis that gives foundations to the interplay between external and internal iterations of the star map, and we present a few examples to show the strength and flexibility of such a nonstandard technique for applications in combinatorial number theory.
ISSN:0168-0072
DOI:10.1016/j.apal.2024.103511