A model structure on the category of diffeological spaces

2013/11/22 by Haraguchi, Tadayuki, Shimakawa, Kazuhisa
#18G55 #55Q05 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1311.5668

Abstract

We construct a model category structure on the category of diffeological spaces which is Quillen equivalent to the model structure on the category of topological spaces based on the notions of Serre fibrations and weak homotopy equivalences.

Related

• The Quillen model structure on the category of diffeological spaces
• The Quillen model category of topological spaces
• An A-based cofibrantly generated model category
• Quillen equivalences between the model categories of smooth spaces, simplicial sets, and arc-gengerated spaces
• Weak model categories in classical and constructive mathematics