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arxiv: 1401.6715 · v2 · pith:QIMCJDXXnew · submitted 2014-01-27 · 🧮 math.LO

Invariant types in NIP theories

classification 🧮 math.LO
keywords typesinvarianttheoriesamalgamationamongstcanonicalconstructdefinable
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We study invariant types in NIP theories. Amongst other things: we prove a definable version of the (p,q)-theorem in theories of small or medium directionality; we construct a canonical retraction from the space of M-invariant types to that of M-finitely satisfiable types; we show some amalgamation results for invariant types and list a number of open questions.

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