Relative De Rham cohomology in diffeological spaces
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866910750903107584 |
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| author | Macías-Virgós, Enrique Mehrabi, Reihaneh |
| author_facet | Macías-Virgós, Enrique Mehrabi, Reihaneh |
| contents | We define two different versions of the relative De Rham cohomology groups of a diffeological space. Additionally, we study a variant of the Mayer-Vietoris sequence and discuss the existence of a relative cup product. Our approach is categorical, replacing open coverings with generating families and unions and intersections with pull-back and join constructions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_06478 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Relative De Rham cohomology in diffeological spaces Macías-Virgós, Enrique Mehrabi, Reihaneh Algebraic Topology 14F40, 58A40 We define two different versions of the relative De Rham cohomology groups of a diffeological space. Additionally, we study a variant of the Mayer-Vietoris sequence and discuss the existence of a relative cup product. Our approach is categorical, replacing open coverings with generating families and unions and intersections with pull-back and join constructions. |
| title | Relative De Rham cohomology in diffeological spaces |
| topic | Algebraic Topology 14F40, 58A40 |
| url | https://arxiv.org/abs/2306.06478 |