On Postnikov completeness for replete topoi
We show that the hypercomplete \(\infty\)-topos associated with any replete topos is Postnikov complete, positively answering a question of Bhatt and Scholze. Along the way, we construct Milnor sequences for sheaves of spaces on replete topoi. As a corollary, we generalize a result of To\"en on...
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| Veröffentlicht in: | arXiv.org 2022-10 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | We show that the hypercomplete \(\infty\)-topos associated with any replete topos is Postnikov complete, positively answering a question of Bhatt and Scholze. Along the way, we construct Milnor sequences for sheaves of spaces on replete topoi. As a corollary, we generalize a result of To\"en on affine stacks. |
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| ISSN: | 2331-8422 |