Covers in the Canonical Grothendieck Topology
Algebraic Topology
2019-09-10 v1 Category Theory
Abstract
We explore the canonical Grothendieck topology in some specific circumstances. First we use a description of the canonical topology to get a variant of Giraud's Theorem. Then we explore the canonical Grothendieck topology on the categories of sets and topological spaces; here we get a nice basis for the topology. Lastly, we look at the canonical Grothendieck topology on the category of -modules.
Keywords
Cite
@article{arxiv.1909.03384,
title = {Covers in the Canonical Grothendieck Topology},
author = {Cynthia Lester},
journal= {arXiv preprint arXiv:1909.03384},
year = {2019}
}