### Introduction to infinite matroids

- Series
- Graph Theory Seminar
- Time
- Thursday, September 30, 2010 - 12:05 for 1 hour (actually 50 minutes)
- Location
- Skiles 114
- Speaker
- Luke Postle – Math, GT

Rota asked in the 1960's how one might construct an axiom system for
infinite matroids. Among the many suggested answers
were the B-matroids of Higgs. In 1978, Oxley proved that any infinite
matroid system with the notions of duality and minors must be equivalent to
B-matroids. He also provided a simpler mixed basis-independence axiom system
for B-matroids, as opposed to the complicated closure system developed by
Higgs. In this talk, we examine a recent paper of Bruhn et al that gives
independence, basis, circuit, rank, and closure axiom systems for
B-matroids. We will also discuss some open problems for infinite matroids.