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arXiv:1605.06794 [math.AT]AbstractReferencesReviewsResources

Model categories of smooth spaces

Hiroshi Kihara

Published 2016-05-22Version 1

We construct a model structure on the category of diffeological spaces whose weak equivalences are just smooth maps inducing isomorphisms on smooth homotopy groups. Our approach applies to the category of Chen spaces as well.

Categories: math.AT
Subjects: 57P99, 18G55
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