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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Bibliographic Details
Main Authors Di Nasso, Mauro, Jin, Renling
Format Journal Article
LanguageEnglish
Published 08.06.2024
Subjects
Mathematics - Combinatorics
Mathematics - Logic
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Summary: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.
DOI:10.48550/arxiv.2406.05419