arXiv:2011.12842 Abstract | arXiv Analytics

arXiv:2011.12842 [math.AT]Abstract References Reviews Resources

A model structure on the category of diffeological spaces, I

Published 2020-11-25Version 1

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

Comments: 18 pages. In this paper, we amend the proof of "A model structure on the category of diffeological spaces, arXiv:1311.5668". Also, only the construction of the model structure is introduced

Categories: math.AT

Subjects: 18G55, 18B30, 55Q05

Keywords: diffeological spaces, smooth weak homotopy equivalences, quillen model structure, weak equivalences

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