Homotopy sphere representations for matroids
Combinatorics
2009-03-17 v1
Abstract
For any rank oriented matroid , a construction is given of a "topological representation" of by an arrangement of homotopy spheres in a simplicial complex which is homotopy equivalent to . The construction is completely explicit and depends only on a choice of maximal flag in . If is orientable, then all Folkman-Lawrence representations of all orientations of embed in this representation in a homotopically nice way.
Cite
@article{arxiv.0903.2773,
title = {Homotopy sphere representations for matroids},
author = {Laura Anderson},
journal= {arXiv preprint arXiv:0903.2773},
year = {2009}
}