Fractal classes of matroids

A minor-closed class of matroids is (strongly) fractal if the number n-element in dominated by excluded minors. We conjecture that when K an infinite field, K-representable strongly fractal. prove sparse paving with at most k circuit-hyperplanes a least three. The minor-closure spikes (with k≥5) satisfies strictly weaker condition: 2t-element However, there are only finitely many minors ground sets odd size.