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Subsets of superstable structures are weakly benign

Bektur Baizhanov·John Baldwin·Saharon Shelah
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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.

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Bektur Baizhanov, John Baldwin, Saharon Shelah. 2003-03-26. Subsets of superstable structures are weakly benign. https://arxiv.org/abs/math/0303324

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