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arXiv · 2203.06322

A Simple Combinatorial Proof of Szemer\'{e}di's Theorem via Three Levels of Infinities

Renling Jin
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Abstract

We present a nonstandard simple elementary proof of Szemer\'{e}di's theorem by a straightforward induction with the help of three levels of infinities and four different elementary embeddings in a nonstandard universe.

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Renling Jin. 2022-03-12. A Simple Combinatorial Proof of Szemer\'{e}di's Theorem via Three Levels of Infinities. https://doi.org/10.19086/da.87772

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