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arXiv · 2502.03915

An exposition on the supersimplicity of certain expansions of the additive group of the integers

Amador Martin-Pizarro·Daniel Palacín
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Abstract

In this short note, we present a self-contained exposition of the supersimplicity of certain expansions of the additive group of the integers, such as adding a generic predicate (due to Chatzidakis and Pillay), a predicate for the square-free integers (due to Bhardwaj and Tran) or a predicate for the prime integers (due to Kaplan and Shelah, assuming Dickson's conjecture).

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Amador Martin-Pizarro, Daniel Palacín. 2025-02-06. An exposition on the supersimplicity of certain expansions of the additive group of the integers. https://arxiv.org/abs/2502.03915

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