Topological rigidification of schemes
Algebraic Geometry
2010-12-10 v1
Abstract
We show that any of a large class of schemes receives a universal homeomorphism from a reduced scheme that in turn receives no nontrivial universal homeomorphism from any other reduced scheme. This construction serves as a categorical input for the formal inversion of universal homeomorphisms; the result is an infinity-category that embeds as a full subcategory of the h infinity-topos of Voevodsky.
Cite
@article{arxiv.1012.1889,
title = {Topological rigidification of schemes},
author = {C. Barwick},
journal= {arXiv preprint arXiv:1012.1889},
year = {2010}
}