On Postnikov completeness for replete topoi

Autor: Mondal, Shubhodip, Reinecke, Emanuel
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: Revision based on referee comments. 14 pages; comments still welcome
Databáze: arXiv