Mimeomatroids

Vadim Ponomarenko1
1Department of Mathematics, Trinity University, 715 Stadium Drive, San Antonio, Teras 78212-7200

Abstract

A mimeomatroid is a matroid union of a matroid with itself. We develop several properties of mimeomatroids, including a generalization of Rado’s theorem, and prove a weakened version of a matroid conjecture by Rota [2].