On Postnikov completeness for replete topoi
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866910909845209088 |
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| author | Mondal, Shubhodip Reinecke, Emanuel |
| author_facet | Mondal, Shubhodip Reinecke, Emanuel |
| contents | We show that the hypercomplete $\infty$-topos associated with any replete topos is Postnikov complete, positively answering a question of Bhatt and Scholze; this will be deduced from the Milnor sequences for sheaves of spaces on replete topoi that we construct. As a corollary, we generalize a result of Toën on affine stacks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_14146 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On Postnikov completeness for replete topoi Mondal, Shubhodip Reinecke, Emanuel Algebraic Topology Algebraic Geometry 18N60, 18F10, 14F06 We show that the hypercomplete $\infty$-topos associated with any replete topos is Postnikov complete, positively answering a question of Bhatt and Scholze; this will be deduced from the Milnor sequences for sheaves of spaces on replete topoi that we construct. As a corollary, we generalize a result of Toën on affine stacks. |
| title | On Postnikov completeness for replete topoi |
| topic | Algebraic Topology Algebraic Geometry 18N60, 18F10, 14F06 |
| url | https://arxiv.org/abs/2210.14146 |