Monotone-light factorization for Kan fibrations of simplicial sets with respect to groupoids
Second order covering maps of simplicial sets were introduced by \textit{R. Brown} and \textit{G. Janelidze} [J. Pure Appl. Algebra 135, 23--31 (1999; Zbl 0930.55009)]. In this paper these maps are shown to form a monotone-light factorisation system for the class of Kan fibrations. This is within the context of a general Galois structure on the category of simplicial sets. Reviewer's comment: Unfortunately, in this paper the same font has been used for categories and objects in the category. This makes it harder work for the reader.
scientific article; zbMATH DE number 2153122