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Mapping Coalgebras I: Comonads

Published 21 Sep 2020 in math.CT | (2009.10041v2)

Abstract: In this article we describe properties of the 2-functor from the 2-category of comonads to the 2-category of functors that sends a comonad to its forgetful functor. This allows us to describe contexts where algebras over a monad are enriched tensored and cotensored over coalgebras over a comonad.

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