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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. …
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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? …
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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). …
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