Extended \'etale homotopy groups from profinite Galois categories
Algebraic Geometry
2019-01-23 v2
Abstract
In this note we show that the protruncated shape of a spectral -topos is a delocalization of its profinite stratified shape. This gives a way to reconstruct the extended \'etale homotopy groups (i.e., the non-profinitely complete \'etale homotopy groups) of a coherent scheme from its profinite Galois category.
Keywords
Cite
@article{arxiv.1812.11637,
title = {Extended \'etale homotopy groups from profinite Galois categories},
author = {Peter J. Haine},
journal= {arXiv preprint arXiv:1812.11637},
year = {2019}
}
Comments
9 pages. Comments very welcome. v2: Removed an erroneous remark about the protruncated shape preserving finite products