Hypercovers in Differential Geometry
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866908829826940928 |
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| author | Glass, Cheyne Minichiello, Emilio |
| author_facet | Glass, Cheyne Minichiello, Emilio |
| contents | In this paper we provide a simple proof that for several sites of interest in differential geometry, the local projective model structure and the Čech projective model structure are equal. In particular, this applies to the site of smooth manifolds with open covers and the site of cartesian spaces with good open covers. As an application, we show that for a presheaf of sets on these sites, applying the plus construction once is enough to sheafify. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_11971 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Hypercovers in Differential Geometry Glass, Cheyne Minichiello, Emilio Category Theory Differential Geometry In this paper we provide a simple proof that for several sites of interest in differential geometry, the local projective model structure and the Čech projective model structure are equal. In particular, this applies to the site of smooth manifolds with open covers and the site of cartesian spaces with good open covers. As an application, we show that for a presheaf of sets on these sites, applying the plus construction once is enough to sheafify. |
| title | Hypercovers in Differential Geometry |
| topic | Category Theory Differential Geometry |
| url | https://arxiv.org/abs/2602.11971 |