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On the type-definability of the binding group in simple theories
Published online by Cambridge University Press: 12 March 2014
Abstract
Let T be simple, work in Ceq over a boundedly closed set. Let p Є S(∅) be internal in a quasi-stably-embedded type-definable set Q (e.g., Q is definable or stably-embedded) and suppose (p, Q) is ACL-embedded in Q (see definitions below). Then Aut(p/Q) with its action on pc is type-definable in Ceq over ∅. In particular, if p Є S(∅) is internal in a stably-embedded type-definable set Q, and pc ⋃ Q is stably-embedded, then Aut(p/Q) is type-definable with its action on pc.
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- Copyright © Association for Symbolic Logic 2005
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