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Preprint Number 309

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309. David M. Evans and Marco S. Ferreira
The geometry of Hrushovski constructions, I. The uncollapsed case

Submission date: 22 March 2011.


An intermediate stage in Hrushovski's construction of flat strongly minimal structures in a relational language L produces omega-stable structures of rank omega. We analyze the pregeometries given by forking on the regular type of rank omega in these structures. We show that varying L can affect the (local) isomorphism type of the pregeometry, but not its finite subpregeometries. A sequel will compare these to the pregeometries of the strongly minimal structures.

Mathematics Subject Classification: 03C45, 03C30, 03C13

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