A model structure on the category of diffeological spaces

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.

31 pages; corrected various errors in the constructions and proofs; this is the final version of the article

References in corpus (2)

• The homotopy theory of diffeological spaces
• On model structure for coreflective subcategories of a model category

Cited by in corpus (6)

• The homotopy theory of diffeological spaces
• Smooth constructions of homotopy-coherent actions
• On homotopy types of diffeological cell complexes
• On model structure for coreflective subcategories of a model category
• Homotopy structures of smooth CW complexes
• Generalized maps between diffeological spaces