Two-track categories
Algebraic Topology
2010-02-18 v1 Category Theory
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.
Cite
@article{arxiv.1002.3262,
title = {Two-track categories},
author = {David Blanc and Simona Paoli},
journal= {arXiv preprint arXiv:1002.3262},
year = {2010}
}