Abstract
AbstractWe 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 categoryby a module over.
Publisher
Cambridge University Press (CUP)
Subject
Geometry and Topology,Algebra and Number Theory
Cited by
6 articles.
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1. Comonad cohomology of track categories;Journal of Homotopy and Related Structures;2019-05-14
2. Conclusions and Further Directions;Algebra and Applications;2019
3. On matrix Toda brackets in Baues–Wirsching cohomology;Homology, Homotopy and Applications;2018
4. 2-track algebras and the Adams spectral sequence;Journal of Homotopy and Related Structures;2016-11-24
5. Segal-type algebraic models ofn–types;Algebraic & Geometric Topology;2014-12-31