Families of regular matroids

Details Families of regular matroids Families of regular matroids

2009-11-11

arxiv.org/abs/0911.2014v2

Mathematics

Combinatorics

34 pages, 1 figure, misprints in introduction fixed

Scientific paper

This is an introductory paper about the category of regular oriented matroids (ROMs). We compare the homotopy types of the categories of regular and binary matroids. For example, in the unoriented case, they have the same fundamental group but we show that the higher homotopy groups are different for rank three regular and binary matroids. We also speculate on the possible impact of a recent theorem of Galatius [Gal] computing the stable cohomology of the category of graphs and on possible applications to higher Reidemeister torsion.

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