Stable embeddedness and NIP

Details Stable embeddedness and NIP Stable embeddedness and NIP

2010-01-04

arxiv.org/abs/1001.0515v1

Mathematics

Logic

10 pages

Scientific paper

We give sufficient conditions for a predicate P in a complete theory T to be
stably embedded: P with its induced 0-definable structure has "finite rank", P
has NIP in T and P is 1-stably embedded. This generalizes recent work by Hasson
and Onshuus in the case where P is o-minimal in T.

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