English

Finite connectivity in infinite matroids

Combinatorics 2011-01-31 v1

Abstract

We introduce a connectivity function for infinite matroids with properties similar to the connectivity function of a finite matroid, such as submodularity and invariance under duality. As an application we use it to extend Tutte's linking theorem to finitary and to co-finitary matroids.

Keywords

Cite

@article{arxiv.1101.5621,
  title  = {Finite connectivity in infinite matroids},
  author = {Henning Bruhn and Paul Wollan},
  journal= {arXiv preprint arXiv:1101.5621},
  year   = {2011}
}

Comments

16 pages

R2 v1 2026-06-21T17:18:35.110Z