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math.LO2011★ 4 cited
Matroid Theory and Hrushovski's Predimension Construction
David M. Evans
We give an exposition of some results from matroid theory which characterise the finite pregeometries arising from Hrushovski's predimension construction. As a corollary, we observ…
math.LO2011★ 12 cited
The geometry of Hrushovski constructions, I. The uncollapsed case
David M. Evans, Marco S. Ferreira
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 pre…
math.LO2011★ 2 cited
The geometry of Hrushovski constructions, II. The strongly minimal case
David M. Evans, Marco S. Ferreira
We investigate the isomorphism types of combinatorial geometries arising from Hrushovski's flat strongly minimal structures and answer some questions from Hrushovski's original pap…