An exposition on the supersimplicity of certain expansions of the additive group of the integers
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916012205539328 |
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| author | Martin-Pizarro, Amador Palacín, Daniel |
| author_facet | Martin-Pizarro, Amador Palacín, Daniel |
| contents | 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). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_03915 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An exposition on the supersimplicity of certain expansions of the additive group of the integers Martin-Pizarro, Amador Palacín, Daniel Logic 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). |
| title | An exposition on the supersimplicity of certain expansions of the additive group of the integers |
| topic | Logic |
| url | https://arxiv.org/abs/2502.03915 |