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math.CT2009★ 1 cited
The 2-category of weak entwining structures
Gabriella Böhm
A weak entwining structure in a 2-category K consists of a monad t and a comonad c, together with a 2-cell relating both structures in a way that generalizes a mixed distributive l…
math.CT2009★ 42 cited
The weak theory of monads
Gabriella Böhm
We construct a `weak' version EM^w(K) of Lack & Street's 2-category of monads in a 2-category K, by replacing their compatibility constraint of 1-cells with the units of monads by…