The Quillen model structure on the category of diffeological spaces

2020/11/25 by Haraguchi, Tadayuki, Shimakawa, Kazuhisa
#18F60 #18N40 #55Q05 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2011.12842

Abstract

We construct on the category of diffeological spaces a Quillen model structure having smooth weak homotopy equivalences as the class of weak equivalences.

Related

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