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; 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...
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| Format: | Artikel |
| Sprache: | eng |
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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; 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
To\"en on affine stacks. |
|---|---|
| DOI: | 10.48550/arxiv.2210.14146 |