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Results tagged with topos-theory
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user 45669
A topos is a category that behaves very much like the category of sets and possesses a good notion of localization. Related to topos are: sheaves, presheaves, descent, stacks, localization,...
1
vote
Topological regularity for toposes
As far as I am aware, there is not. (Unless, by definition, you want to say that a topos is regular if its localic reflection is regular.)
Not sure if that's helpful!
4
votes
classifying $\infty$-toposes for topological/localic groups?
[I would comment, but I don't have enough points yet!]
Marta Bunge (*) shows that for any open localic group $G$, $BG$ classifies the principal bundles of the etale completion of $G$. I think you are …
5
votes
Grothendieck says: points are not mere points, but carry Galois group actions
The points of a Topos have natural transformations between them; restricting to natural isomorphisms you get a groupoid. You can also represent the points of a bounded Topos as principal bundles; I.e. …
2
votes
How are the left and the right group of a bitorsor related?
[I don't have enough 'points' to comment; below is really just a comment.]
If you consider instead your 'nice enough' category to be locales, then having a bi-torsor between two open localic groups G …
5
votes
Alternatives to "Sketches of an Elephant" Volume 3
Johnstone's 1977 book 'Topos Theory' is a very good source.