2 papers
math.CT2013
Bicategorical homotopy fiber sequences
M. Calvo, A. M. Cegarra, B. A. Heredia
Small Bénabou's bicategories and, in particular, Mac Lane's monoidal categories, have well-understood classifying spaces, which give geometric meaning to their cells. This paper co…
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…