16 citations · 81 across the 23 of their papers we have counts for
4 papers · 2 filters
An excluded minors method for infinite matroids
Nathan Bowler, Johannes Carmesin
The notion of thin sums matroids was invented to extend the notion of representability to non-finitary matroids. A matroid is tame if every circuit-cocircuit intersection is finite…
Thin sums matroids and duality
Hadi Afzali, Nathan Bowler
Thin sums matroids were introduced to extend the notion of representability to non-finitary matroids. We give a new criterion for testing when the thin sums construction gives a ma…
Matroid intersection, base packing and base covering for infinite matroids
Nathan Bowler, Johannes Carmesin
As part of the recent developments in infinite matroid theory, there have been a number of conjectures about how standard theorems of finite matroid theory might extend to the infi…
Matroids with an infinite circuit-cocircuit intersection
Johannes Carmesin, Nathan Bowler
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 sh…