Fundamental group of homotopy colimits.
type: Item
instance of: scholarly article
title: Fundamental group of homotopy colimits.
zbMATH Open document ID: 1052.55014
DOI: 10.1016/S0001-8708(03)00072-0
author: Emmanuel D. Farjoun
published in: Advances in Mathematics
publication date: 2004-03-14T00:00:00Z
review text: The author formulates a generalised van Kampen theorem in the following way: the fundamental groupoid functor preserves homotopy colimits. In order to do this, he develops a theory of homotopy colimits for diagrams of groupoids. He gives applications to the Bass-Serre theory of groups acting on trees, and to the fundamental groups of orbit spaces.
reviewed by: Richard John Steiner
Mathematics Subject Classification ID: 55Q05
Mathematics Subject Classification ID: 20L05
zbMATH DE Number: 2055395
zbMATH Keywords: van Kampen theorem
zbMATH Keywords: fundamental groupoid
zbMATH Keywords: fundamental group
zbMATH Keywords: homotopy colimits of diagrams of groupoids
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2055395