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math.CT2015
Homotopy colimits of 2-functors
A. M. Cegarra, B. A. Heredia
Like categories, small 2-categories have well-understood classifying spaces. In this paper, we deal with homotopy types represented by 2-diagrams of 2-categories. Our results exten…
math.CT2012
Structure and classification of monoidal groupoids
María Calvo, Antonio M. Cegarra, Benjamín A. Heredia
The structure of monoidal categories in which every arrow is invertible is analyzed in this paper, where we develop a 3-dimensional Schreier-Grothendieck theory of non-abelian fact…