# A model structure on the category of diffeological spaces

@article{Haraguchi2013AMS, title={A model structure on the category of diffeological spaces}, author={Tadayuki Haraguchi and Kazuhisa Shimakawa}, journal={arXiv: Algebraic Topology}, year={2013} }

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.

## 9 Citations

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We prove that, for nice classes of infinite-dimensional smooth groups G, natural constructions in smooth topology and symplectic topology yield homotopically coherent group actions of G. This yields…

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