English

The Axiomatization of Affine Oriented Matroids Reassessed

Combinatorics 2016-07-12 v2

Abstract

In an unpublished manuscript of 1992, Johan Karlander has given an axiomatization of affine oriented matroids. A closer examination of the text revealed an invalid construction and an incorrect argument in the proof of his main theorem. This paper provides an alternative argument to fix and slightly simplify the proof of the main theorem.

Keywords

Cite

@article{arxiv.1603.03228,
  title  = {The Axiomatization of Affine Oriented Matroids Reassessed},
  author = {Andrea Baum and Yida Zhu},
  journal= {arXiv preprint arXiv:1603.03228},
  year   = {2016}
}

Comments

oriented matroid, 17 pages, 4 figures