Two-track categories

Published 17 Feb 2010 in math.AT and math.CT | (1002.3262v1)

Abstract: 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.

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