arxiv: 1103.3638 · v1 · pith:WEXHCBRZnew · submitted 2011-03-18 · 🧮 math.LO

The geometry of Hrushovski constructions, I. The uncollapsed case

David M. Evans , Marco S. Ferreira This is my paper

classification 🧮 math.LO

keywords structureshrushovskiminimalomegapregeometriesrankstronglytype

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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.

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The geometry of Hrushovski constructions, I. The uncollapsed case

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