Matroid Theory and Hrushovski's Predimension Construction

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.

21 pages

References in corpus (2)

• The geometry of Hrushovski constructions, I. The uncollapsed case
• The geometry of Hrushovski constructions, II. The strongly minimal case