%0 Journal Article %T Matroid 3-connectivity and branch width %A Jim Geelen %A Stefan H. M. van Zwam %J Mathematics %D 2011 %I arXiv %X We prove that, for each nonnegative integer k and each matroid N, if M is a 3-connected matroid containing N as a minor, and the the branch width of M is sufficiently large, then there is a k-element subset X of E(M) such that one of M\X and M/X is 3-connected and contains N as a minor. %U http://arxiv.org/abs/1107.3914v2