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arXiv · 2209.15178

On the Quotient-Lift Matroid Relation

Jose De Jesus·Alexander Kelmans
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Abstract

It is well known that a matroid L is a lift of a matroid M if and only if every circuit of L is the union of some circuits of M. In this paper we give a simpler proof of this important theorem. We also described a discrete homotopy theorem on two matroids of different ranks on the same ground set.

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Jose De Jesus, Alexander Kelmans. 2022-09-30. On the Quotient-Lift Matroid Relation. https://arxiv.org/abs/2209.15178

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