On Postnikov completeness for replete topoi
Algebraic Topology
2025-04-15 v2 Algebraic Geometry
Abstract
We show that the hypercomplete -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.
Cite
@article{arxiv.2210.14146,
title = {On Postnikov completeness for replete topoi},
author = {Shubhodip Mondal and Emanuel Reinecke},
journal= {arXiv preprint arXiv:2210.14146},
year = {2025}
}
Comments
Revision based on referee comments. 14 pages; comments still welcome