Stabilizers, Measures and IP-sets
Amador Martin-Pizarro, Daniel Palac\'in
TL;DR
This paper offers elementary model-theoretic proofs for known results on sumset phenomena and IP sets, inspired by Hrushovski's stabilizer theorem, aiming to simplify understanding in this area.
Contribution
It introduces simplified, model-theoretic proofs for established results on sumsets and IP sets, building on Hrushovski's stabilizer theorem.
Findings
Elementary proofs of sumset phenomena
Elementary proofs of IP set properties
Connection to Hrushovski's stabilizer theorem
Abstract
The purpose of this simple note is to provide elementary model-theoretic proofs to some existing results on sumset phenomena and IP sets, motivated by Hrushovski's work on the stabilizer theorem.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Limits and Structures in Graph Theory · Computability, Logic, AI Algorithms