2010/02/17 by David Blanc, Blanc, David, Simona Paoli +1
Mathematics · #18G55 #Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics #math.AT #math.CT #msc:18G55
paper · pdf · doi:10.48550/arxiv.1002.3262
arxiv created 2010/02/17 · arxiv updated 2010/02/26
We describe a 2-dimensional analogue of track categories, called two-track categories, and show that it can be used to model categories enriched in 2-type mapping spaces. We also define a Baues-Wirsching type cohomology theory for track categories, and explain how it can be used to classify two-track extensions of a track category D by a module over D.