论文标题

在nikov的完整性上

On Postnikov completeness for replete topoi

论文作者

Mondal, Shubhodip, Reinecke, Emanuel

论文摘要

我们表明,与任何Explete Topos相关的HyperComplete $ \ infty $ -TOPOS已完成,正式回答了Bhatt和Scholze的问题;这将从我们构造的Explete Topoi上的Milnor序列中推导。作为推论,我们概括了Toën在仿射堆栈上的结果。

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.

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