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Media type:
E-Article
Title:
On the Type-Definability of the Binding Group in Simple Theories
Contributor:
Hart, Bradd;
Shami, Ziv
Published:
Association for Symbolic Logic, Inc., 2005
Published in:
The Journal of Symbolic Logic, 70 (2005) 2, Seite 379-388
Language:
English
ISSN:
0022-4812
Origination:
Footnote:
Description:
Let T be simple, work in Ceq over a boundedly closed set. Let p ∈ S(θ) 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 θ. In particular, if p ∈ S(θ) is internal in a stably-embedded type-definable set Q, and pC υ Q is stably-embedded, then Aut(p/Q) is type-definable with its action on pC.