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Differential forms on diffeological spaces and diffeological gluing, I (1605.07328v3)
Published 24 May 2016 in math.DG
Abstract: This paper aims to describe the behavior of diffeological differential forms under the operation of gluing of diffeological spaces along a smooth map. In the diffeological context, two ways of looking at diffeological forms are available, that of the vector space of all diffeological forms on a given space, and that of the pseudo-bundle of values of these forms. We describe the behavior of the former under a gluing of diffeological spaces.