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7
votes
2
answers
545
views
A specific property of bi-adjunction
The corresponding (co)monads are Frobenius monads. I've looked in some paper about them, and couldn't find this structure discussed. …
4
votes
1
answer
199
views
Do (co)density (co)monadic constructions stablize?
It does not say explicitly, but by considering left/right Kan extension/lift, it could make sense to talk about four variants: (co)density (co)monads. … And since $TF$ is a functor, we can construct its (co)density (co)monads iteratively.
Question
Does such iterative construction stablize?
If not, what's the state of the art about it? …
6
votes
0
answers
350
views
Cohomology without comonad?
TL;DR. Many cohomologies can be unified using comonads. Question: which cohomologies cannot be?
For each algebraic theory, there is an adjunction, and therefore a (co)monad (or called a (co)triple). …