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Preprint Number 189

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189. Artem Chernikov and Pierre Simon
Naming an indiscernible sequence in NIP theories
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Submission date: 16 June 2009.

Abstract:

In this short note we show that if we add predicate for a dense complete indiscernible sequence in a dependent theory then the result is still dependent. This answers a question of Baldwin and Benedikt and implies that every unstable dependent theory has a dependent expansion interpreting linear order.

Mathematics Subject Classification: 03CXX

Keywords and phrases: NIP, indiscernible sequences, Baldwin-Benedikt

Full text arXiv: pdf, ps.


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