Profinite Cosheaves Valued in Pro-regular Categories
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866908826249199616 |
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| author | Tang, Jiacheng |
| author_facet | Tang, Jiacheng |
| contents | We prove that the category of profinite cosheaves valued in a pro-regular category (satisfying mild assumptions) is itself a pro-regular category. As a corollary, we extend Wilkes's cosheaf-bundle equivalence from profinite modules to profinite groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_09974 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Profinite Cosheaves Valued in Pro-regular Categories Tang, Jiacheng Category Theory 18F10, 18A35, 18E08 We prove that the category of profinite cosheaves valued in a pro-regular category (satisfying mild assumptions) is itself a pro-regular category. As a corollary, we extend Wilkes's cosheaf-bundle equivalence from profinite modules to profinite groups. |
| title | Profinite Cosheaves Valued in Pro-regular Categories |
| topic | Category Theory 18F10, 18A35, 18E08 |
| url | https://arxiv.org/abs/2602.09974 |