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arXiv · 1605.07328

Differential forms on diffeological spaces and diffeological gluing, I

Ekaterina Pervova
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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.

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Ekaterina Pervova. 2016-05-24. Differential forms on diffeological spaces and diffeological gluing, I. https://arxiv.org/abs/1605.07328

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