Math 2.0

Category theory; homological algebra Categorical logic and toposes Concept

Site

Summary

A site is a category together with a Grothendieck topology on it. It is the setting in which sheaves, sheafification and sheaf cohomology make sense beyond topological spaces. The open sets of a topological space form a site, and so do the étale maps into a scheme, which give étale cohomology. The category of sheaves on a small site is a Grothendieck topos.

Where this leads

5 pages build on this one.

Further reading

  1. Web https://en.wikipedia.org/wiki/Grothendieck_topology
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Changed2 November 2026

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