Memoirs of the American Mathematical Society 2010; 95 pp; softcover Volume: 208 ISBN10: 0821848267 ISBN13: 9780821848265 List Price: US$71 Individual Members: US$42.60 Institutional Members: US$56.80 Order Code: MEMO/208/981
 The authors give a characterization of the internally \(4\)connected binary matroids that have no minor isomorphic to \(M(K_{3,3})\). Any such matroid is either cographic, or is isomorphic to a particular singleelement extension of the bond matroid of a cubic or quartic Möbius ladder, or is isomorphic to one of eighteen sporadic matroids. Table of Contents  Introduction
 Preliminaries
 Möbius matroids
 From internal to vertical connectivity
 An \(R_{12}\)type matroid
 A connectivity lemma
 Proof of the main result
 Appendix A. Casechecking
 Appendix B. Sporadic matroids
 Appendix C. Allowable triangles
 Bibliography
 Index
