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Factorization systems induced by weak distributive laws
Factorization systems weak distributive laws
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2010/11/29
We relate weak distributive laws in SetMat to strictly associative (but not strictly unital) pseudoalgebras of the 2-monad (−)2 on Cat. The corresponding orthogonal factorization systems are cha...
On the 2-categories of weak distributive laws
2-categories weak distributive laws
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2010/12/8
A weak mixed distributive law (also called weak entwining structure [6]) in a 2-category consists of a monad and a comonad, together with a 2-cell relating them in a way which generalizes a mixed dist...