English

Axioms for infinite matroids

Combinatorics 2013-02-26 v3

Abstract

We give axiomatic foundations for non-finitary infinite matroids with duality, in terms of independent sets, bases, circuits, closure and rank. This completes the solution to a problem of Rado of 1966.

Keywords

Cite

@article{arxiv.1003.3919,
  title  = {Axioms for infinite matroids},
  author = {Henning Bruhn and Reinhard Diestel and Matthias Kriesell and Rudi Pendavingh and Paul Wollan},
  journal= {arXiv preprint arXiv:1003.3919},
  year   = {2013}
}

Comments

33 pp., 2 figs

R2 v1 2026-06-21T15:00:12.401Z