Aura Bârdes: Bimonads in a $2$-category, p.227-240

Abstract:

We associate to a given $2$-category $\mathfrak{K}$ a new $2$-category $% \mathfrak{Bimon(K)}$, whose $0$-cells are the bimonads in $\mathfrak{K}$. We show that this construction defines an endofunctor of the category $2$-CAT of all $2$-categories, which is represented by a certain $2$-category $% \mathfrak{Bimon}$.

Key Words: 2-category, bimonad in a 2-category.

2000 Mathematics Subject Classification: Primary: 18D05;
Secondary: 16T10, 18C15.

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