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arxiv: 1105.3822 · v1 · pith:VRRZSQSOnew · submitted 2011-05-19 · 🧮 math.LO · math.CO

Matroid Theory and Hrushovski's Predimension Construction

classification 🧮 math.LO math.CO
keywords hrushovskipredimensionconstructionfinitematroidtheoryarisesarising
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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.

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