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Preprint Number 1425

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1425. David M. Evans, Jonathan Kirby and Tim Zander
Higher amalgamation properties in stable theories
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Submission date: 8 May 2018

Abstract:

For a complete, stable theory T we construct, in a reasonably canonical way, a related stable theory T^* which has higher independent amalgamation properties over the algebraic closure of the empty-set. The theory T^* is an algebraic cover of T and we give an explicit description of the finite covers involved in the construction of T^* from T. This follows an approach of E. Hrushovski. If T is almost strongly minimal with a 0-definable strongly minimal set, then we show that T^* has higher amalgamation over any algebraically closed subset.

Mathematics Subject Classification: 03C45; 03C99

Keywords and phrases:

Full text arXiv 1805.03127: pdf, ps.


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