Two-track categories

Mathematics – Algebraic Topology

Scientific paper

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Scientific paper

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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