All Questions
4 questions
3
votes
0
answers
231
views
What category of toposes is monadic over the 2-category of groupoids?
Excuse my lack of understanding of monadicity, but I have been looking at toposes and monads. I see Lambek showed that the category of Toposes are monadic over the category of categories. I see the ...
4
votes
1
answer
521
views
What is the category of algebras for the finitely supported measures monad?
In this post, I was introduced to the monad of finitely supported measures.
$HX$ is the set of finitely supported measures on $X$, with monad structure defined as for the Giry monad.
I have three ...
1
vote
0
answers
146
views
Does the 2 category of Groupoids Admit the Vector Space Monad?
We can see here in Jacob's 2013 paper, that he seems to state that a particular kind of multiset monad is actually a vector space monad.
3.2. Vector spaces. For a semiring S one can define the ...
8
votes
0
answers
209
views
Frobenius monads and groupoids
For a while, I was looking for a Frobenius monad on Set. It doesn't exist as pointed out here. I am now looking at the 2-category of groupoids. Does the 2-category of groupoids admit a Frobenius ...