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A note on generalized stable sets

✍ Scribed by A.M.A. van Deemen

Book ID
125260732
Publisher
Springer
Year
1991
Tongue
English
Weight
557 KB
Volume
8
Category
Article
ISSN
0176-1714

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## Abstract Let __M__ be an arbitrary structure. Then we say that an __M__ ‐formula __Ο†__ (__x__) __defines a stable set in__ __M__ if every formula __Ο†__ (__x__) ∧ __Ξ±__ (__x__, __y__) is stable. We prove: If __G__ is an __M__ ‐definable group and every definable stable subset of __G__ has __U__ ‐