中文

Barwise-Schlipf定理的集合论类比

逻辑 2022-06-27 v5

摘要

我们刻画了可扩张为哥德尔-伯奈斯类理论加上Δ11\Delta^1_1-概括公理的非标准ZF模型(具有任意基数)。我们还刻画了可扩张为哥德尔-伯奈斯类理论加上Σ11\Sigma^1_1-选择公理的可数非标准ZFC模型。

关键词

引用

@article{arxiv.2001.09243,
  title  = {Set theoretical analogues of the Barwise-Schlipf theorem},
  author = {Ali Enayat},
  journal= {arXiv preprint arXiv:2001.09243},
  year   = {2022}
}

备注

16 pages. This is the final version of the paper, and corrects some minor typos in the previous draft. The preliminaries section of the paper has a substantial text overlap with arXiv:1910.04029