The Quillen model category of topological spaces

2015/08/08 by Hirschhorn, Philip S.
#Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1508.01942

Abstract

We give a complete and careful proof of Quillen's theorem on the existence of the standard model category structure on the category of topological spaces. We do not assume any familiarity with model categories.

Related

• A Model Structure on the Category of Topological Categories
• Synthetic approach to the Quillen model structure on topological spaces
• A model structure on the category of diffeological spaces
• The Quillen model structure on the category of diffeological spaces
• Quillen model categories without equalisers or coequalisers