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Preprint Number 1307

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1307. Assaf Hasson and Omer Mermelstein
A variant of Hrushovski's construction

Submission date: 21 September 2017


We generalize Hrushovski's predimension function in a manner allowing a structure A to support polynomially (rather than linearly) many relations in |A|. We show that the generic construction associated with this generalized predimension function is a proper reduct of Hrushovski's original construction and that its pregeometry is isomorphic to that of the original construction.

Mathematics Subject Classification: 03C30, 03C45

Keywords and phrases:

Full text arXiv 1709.07209: pdf, ps.

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