Site characterizations for geometric invariants of toposes
Category Theory
2013-04-26 v1 Algebraic Geometry
Logic
Abstract
We discuss the problem of characterizing the property of a Grothendieck topos to satisfy a given 'geometric' invariant as a property of its sites of definition, and indicate a set of general techniques for establishing such criteria. We then apply our methodologies to specific invariants, notably including the property of a Grothendieck topos to be localic (resp. atomic, locally connected, equivalent to a presheaf topos), obtaining explicit site characterizations for them.
Keywords
Cite
@article{arxiv.1112.2542,
title = {Site characterizations for geometric invariants of toposes},
author = {Olivia Caramello},
journal= {arXiv preprint arXiv:1112.2542},
year = {2013}
}
Comments
17 pages