arXiv Analytics

Sign in

arXiv:2203.06322 [math.LO]AbstractReferencesReviewsResources

A Simple Combinatorial Proof of Szemerédi's Theorem via Three Levels of Infinities

Renling Jin

Published 2022-03-12Version 1

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.

Related articles: Most relevant | Search more
arXiv:1202.5215 [math.LO] (Published 2012-02-23)
On colimits and elementary embeddings
arXiv:1002.4456 [math.LO] (Published 2010-02-24, updated 2011-01-26)
A Model Theoretic Proof of Szemerédi's Theorem
arXiv:math/9503204 [math.LO] (Published 1995-03-07)
Critical points in an algebra of elementary embeddings, II