Submission date: 20 May 2011

Abstract:

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.

Mathematics Subject Classification: 05B35, 03C13, 03C30, 03C45

Keywords and phrases: Matroid, Strict gammoid, Hrushovski construction

Full text arXiv 1105.3822: pdf, ps.