On definable J-sets
Logic
2025-04-29 v3
Abstract
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.
Cite
@article{arxiv.2502.05733,
title = {On definable J-sets},
author = {Zhentao Zhang},
journal= {arXiv preprint arXiv:2502.05733},
year = {2025}
}