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arXiv · 1909.03384

Covers in the Canonical Grothendieck Topology

Cynthia Lester
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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 $R$-modules.

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Cynthia Lester. 2019-09-08. Covers in the Canonical Grothendieck Topology. https://arxiv.org/abs/1909.03384

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