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math.CO2011
On the intersection of infinite matroids
Elad Aigner-Horev, Johannes Carmesin, Jan-Oliver Fröhlich
We show that the infinite matroid intersection conjecture of Nash-Williams implies the infinite Menger theorem proved recently by Aharoni and Berger. We prove that this conjecture…
math.CO2011★ 17 cited
Infinite matroid union
Elad Aigner-Horev, Johannes Carmesin, Jan-Oliver Fröhlich
We consider the problem of determining whether the union of two infinite matroids is a matroid. We introduce a superclass of the finitary matroids, the nearly finitary matroids, an…