Subsets of superstable structures are weakly benign
Logic
2007-05-23 v1
Abstract
Baizhanov and Baldwin introduced the notion of benign and weakly benign sets to investigate the preservation of stability by naming arbitrary subsets of a stable structure. They connected the notion with works of Baldwin, Benedikt, Bouscaren, Casanovas, Poizat, and Ziegler. Stimulated by those results, we investigate here the existence of benign or weakly benign sets.
Cite
@article{arxiv.math/0303324,
title = {Subsets of superstable structures are weakly benign},
author = {Bektur Baizhanov and John Baldwin and Saharon Shelah},
journal= {arXiv preprint arXiv:math/0303324},
year = {2007}
}