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The geometry of Hrushovski constructions II. The strongly minimal case
"... We investigate the isomorphism types of combinatorial geometries arising from Hrushovski’s flat strongly minimal structures and answer some questions from Hrushovski’s original paper. ..."
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We investigate the isomorphism types of combinatorial geometries arising from Hrushovski’s flat strongly minimal structures and answer some questions from Hrushovski’s original paper.
Matroid theory and Hrushovski’s predimension construction
, 2011
"... 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 observe that a finite pregeometry which satisfies Hrushovski’s flatness condition arises from a predimension. ..."
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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 observe that a finite pregeometry which satisfies Hrushovski’s flatness condition arises from a predimension.