## An excluded minors method for infinite matroids

- Nathan Bowler, Johannes Carmesin
- J. Comb. Theory, Ser. B
- 2018

- Published 2014 in J. Comb. Theory, Ser. B
DOI:10.1016/j.jctb.2014.02.005

We construct some matroids that have a circuit and a cocircuit with infinite intersection. This answers a question of Bruhn, Diestel, Kriesell, Pendavingh and Wollan. It further shows that the axiom system for matroids proposed by Dress does not axiomatize all infinite matroids. We show that one of the matroids we define is a thin sums matroid whose dual… (More)

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