Infinite matroid union I

Details Infinite matroid union I Infinite matroid union I

2011-11-02

arxiv.org/abs/1111.0602v1

Mathematics

Combinatorics

17 pages, 5 figures, submitted

Scientific paper

We prove that the union of two finitary matroids is a matroid, and in fact finitary. On the other hand we show that the union of a finitary matroid with an arbitrary matroid need not be a matroid. We extend the well-known base packing theorem for finite matroids to co-finitary matroids, implying the tree-packing results in infinite graphs of Tutte and of Diestel.

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