Two-track categories
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.
- Publication:
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arXiv e-prints
- Pub Date:
- February 2010
- DOI:
- arXiv:
- arXiv:1002.3262
- Bibcode:
- 2010arXiv1002.3262B
- Keywords:
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- Mathematics - Algebraic Topology;
- Mathematics - Category Theory;
- 18G55