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Oct 29, 2021 at 15:59 comment added Ivan Di Liberti Oh, you are absolutely right, that was an assumption. I just forgot about it.
Oct 29, 2021 at 15:35 comment added varkor How do you ensure that $\mathsf{Ho}_\rho(\mathsf{C})$ is a category? Certainly it will be if $\mathsf P$ is a monad in $\mathsf{Prof}$: is it related to this fact?
Oct 29, 2021 at 15:08 history edited Ivan Di Liberti CC BY-SA 4.0
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Oct 29, 2021 at 10:12 history edited Ivan Di Liberti CC BY-SA 4.0
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Oct 29, 2021 at 10:03 history answered Ivan Di Liberti CC BY-SA 4.0