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a stub entry, for the moment just so as to give a home to these two references:
Hiroshi Kihara, Model category of diffeological spaces, Journal of Homotopy and Related Structures, (2018), 1-40 (arXiv:1605.06794)
Tadayuki Haraguchi, Kazuhisa Shimakawa, A model structure on the category of diffeological spaces (arXiv:1311.5668)
I have now also added a bit of text on the state of the art to the Idea-section. Then I included the discussion of the strategy via factorization through D-topological spaces.
A minute ago I received a kind email from the authors of the model structure with respect to the “correct” smooth homotopy groups: They acknowledge that there was indeed a gap in their previous proof, but say that they have fixed it and are about to have a new article out.
…and now the announced article is available, have now added pointer to it in the entry:
added pointer to:
Tadayuki Haraguchi informs me that arXiv:2011.12842 has now been refereed and accepted at the Mathematical Journal of Okayama University, which suggests that the gap it set out to address has been filled for good.
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