On definable J-sets
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913809688428544 |
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| author | Zhang, Zhentao |
| author_facet | Zhang, Zhentao |
| contents | We study definable J-sets for definable groups and compare them with weakly generic sets. We show that the property that J-sets coincide with weakly generic sets is invariant on enough saturated models, and hence a model-theoretical property. We have positive results for superstable commutative groups and some easy examples in pCF. We also give an example for noncoincidence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_05733 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On definable J-sets Zhang, Zhentao Logic We study definable J-sets for definable groups and compare them with weakly generic sets. We show that the property that J-sets coincide with weakly generic sets is invariant on enough saturated models, and hence a model-theoretical property. We have positive results for superstable commutative groups and some easy examples in pCF. We also give an example for noncoincidence. |
| title | On definable J-sets |
| topic | Logic |
| url | https://arxiv.org/abs/2502.05733 |