Differential forms on diffeological spaces and diffeological gluing, I
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arXiv
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| Format: | Preprint |
| Published: |
2016
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| _version_ | 1866916660964753408 |
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| author | Pervova, Ekaterina |
| author_facet | Pervova, Ekaterina |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1605_07328 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Differential forms on diffeological spaces and diffeological gluing, I Pervova, Ekaterina Differential Geometry 53C15 (primary), 57R35, 57R45 (secondary) 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. |
| title | Differential forms on diffeological spaces and diffeological gluing, I |
| topic | Differential Geometry 53C15 (primary), 57R35, 57R45 (secondary) |
| url | https://arxiv.org/abs/1605.07328 |