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Results tagged with sites
Search options questions only
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user 148161
For questions related to the mathematical notion of site, which among others generalizes the notion of topological space. For questions on internet-sites, use online-resources, but note that these questions need to be very specific to research-level mathematics to be on-topic.
2
votes
1
answer
190
views
Necessary and sufficient conditions for all sheaves on a site to be continuous functors?
All representable functors are continuous. This makes it possible to associate additional natural operations with them, which are absent for arbitrary presheaves.
What are the sufficient and what ar …
- 6,962
19
votes
2
answers
387
views
Why is $1$ not a dense sub-site in a group with the trivial Grothendieck topology?
A friend of mine had the following question while reading the section "C2.2 The topos of sheaves" in "Sketches of an Elephant".
Let $G$ be a group (considered as a category with one object) with trivi …
- 6,962
8
votes
1
answer
450
views
Tensor product of sites
Let $C, D$ two Grothendieck sites. … Jonstone (in the $C$ part) defines a semidirect product of sites, but it talks about sites internal to the toposes. I'm not sure if this is related to my question yet. …
- 6,962