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arXiv · 2210.14146

On Postnikov completeness for replete topoi

Shubhodip Mondal·Emanuel Reinecke
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Abstract

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.

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BibTeXRIS

Shubhodip Mondal, Emanuel Reinecke. 2022-10-25. On Postnikov completeness for replete topoi. https://doi.org/10.4310/hha.2025.v27.n1.a10

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