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
Published inarXiv.org
Main Authors Mauro Di Nasso, Jin, Renling
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 08.06.2024
Subjects
Combinatorial analysis
Foundations
Number theory
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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.
ISSN:2331-8422