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Preprint Number 224

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224. Anand Pillay
Stable embeddedness and NIP

Submission date: 4 January 2010.

Abstract: 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.

Mathematics Subject Classification: 03C45

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Full text arXiv: pdf, ps.

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