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Results tagged with internalization
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user 22131
17
votes
Are there categories whose internal hom is somewhat 'exotic'?
Here are a slightly different flavor of examples. Of course as mentioned by Peter Lumsdaine, the trick is always the same: looking at categories where $Hom(I,X)$ looks quite different from the "underl …
- 42.4k
19
votes
Accepted
An extension of the Galois theory of Grothendieck
The point of view where this title comes from is that Grothendieck's theorem can be seen as a characterization of toposes of the form $BG$ for $G$ a profinite group. It shows that some toposes can be …
- 42.4k