Monotone-light factorization for Kan fibrations of simplicial sets with respect to groupoids
type: Item
instance of: scholarly article
title: Monotone-light factorization for Kan fibrations of simplicial sets with respect to groupoids
zbMATH Open document ID: 1079.55019
author: Dimitri Chikhladze
published in: Homology, Homotopy and Applications
publication date: 2005-04-05T00:00:00Z
full work available at URL: https://eudml.org/doc/52022
full work available at URL: volume6-1.htm
review text: 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.
reviewed by: Timothy Porter
Mathematics Subject Classification ID: 55U10
Mathematics Subject Classification ID: 18G55
zbMATH DE Number: 2153122
zbMATH Keywords: monotone-light factorisation system
MaRDI profile type: Publication
OpenAlex ID: W2126499121
DOI: 10.4310/HHA.2004.V6.N1.A24
description: scientific article; zbMATH DE number 2153122