The structure of 2-separations of infinite matroids

Details The structure of 2-separations of infinite matroids The structure of 2-separations of infinite matroids

2012-01-05

arxiv.org/abs/1201.1135v1

Mathematics

Combinatorics

30 pages

Scientific paper

Generalizing a well known theorem for finite matroids, we prove that for
every (infinite) connected matroid M there is a unique tree T such that the
nodes of T correspond to minors of M that are either 3-connected or circuits or
cocircuits, and the edges of T correspond to certain nested 2-separations of M.
These decompositions are invariant under duality.

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