A model structure on the category of diffeological spaces

Kazuhisa Shimakawa; Tadayuki Haraguchi

A model structure on the category of diffeological spaces

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arxiv 1311.5668 v7 pith:GKKXJKIM submitted 2013-11-22 math.AT

Tadayuki Haraguchi , Kazuhisa Shimakawa This is my paper

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keywords categorymodelspacesstructurediffeologicalconstructequivalencesequivalent

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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.

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