Relative rank axioms for infinite matroids
Combinatorics
2010-05-28 v2
Abstract
In a recent paper, Bruhn, Diestel, Kriesell and Wollan (arXiv:1003.3919) present four systems of axioms for infinite matroids, in terms of independent sets, bases, closure and circuits. No system of rank axioms is given. We give an easy example showing that rank function of an infinite matroid may not suffice to characterize it. We present a system of axioms in terms of relative rank.
Cite
@article{arxiv.1004.0154,
title = {Relative rank axioms for infinite matroids},
author = {R. A. Pendavingh},
journal= {arXiv preprint arXiv:1004.0154},
year = {2010}
}
Comments
The results in this paper have now been merged into arXiv:1003.3919