On a model structure on diffeological spaces (beware: for non-standard diffeology on the standard simplices):
Hiroshi Kihara, Model category of diffeological spaces, Journal of Homotopy and Related Structures, (2018), 1-40 (arXiv:1605.06794)
Hiroshi Kihara, Quillen equivalences between the model categories of smooth spaces, simplicial sets, and arc-gengerated spaces (arXiv:1702.04070)
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