Mathematics > Combinatorics
[Submitted on 11 Nov 2009 (v1), last revised 17 Nov 2009 (this version, v2)]
Title:Families of regular matroids
View PDF HTML (experimental)Abstract: 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.
Submission history
From: Kiyoshi Igusa [view email][v1] Wed, 11 Nov 2009 16:16:45 UTC (29 KB)
[v2] Tue, 17 Nov 2009 20:51:01 UTC (29 KB)
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