Hypersheaves and bases
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916796284534784 |
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| author | Dyckerhoff, Tobias Heine, Till Schneider, Simon |
| author_facet | Dyckerhoff, Tobias Heine, Till Schneider, Simon |
| contents | Let $X$ be a topological space equipped with a basis. We prove that, for every $\infty$-category $\mathcal{C}$ with limits, the restriction functor from $\mathcal{C}$-valued hypersheaves on $X$ to basic hypersheaves is an equivalence of $\infty$-categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_14007 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hypersheaves and bases Dyckerhoff, Tobias Heine, Till Schneider, Simon Category Theory Algebraic Geometry Algebraic Topology Let $X$ be a topological space equipped with a basis. We prove that, for every $\infty$-category $\mathcal{C}$ with limits, the restriction functor from $\mathcal{C}$-valued hypersheaves on $X$ to basic hypersheaves is an equivalence of $\infty$-categories. |
| title | Hypersheaves and bases |
| topic | Category Theory Algebraic Geometry Algebraic Topology |
| url | https://arxiv.org/abs/2506.14007 |