Subsets of superstable structures are weakly benign

Baizhanov, Bektur; Baldwin, John; Shelah, Saharon

Subsets of superstable structures are weakly benign

Authors

Baizhanov, Bektur

Baldwin, John

Shelah, Saharon

Description

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.