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Baizhanov and Baldwin introduced the notion of benign and weakly benign setsto investigate the preservation of stability by naming arbitrary subsets of astable structure. They connected the notion with works of Baldwin, Benedikt,Bouscaren, Casanovas, Poizat, and Ziegler. Stimulated by those results, weinvestigate here the existence of benign or weakly benign sets.

Subsets of superstable structures are weakly benign