65 citations · 239 across the 22 of their papers we have counts for
8 papers · 1 filter
Hopf polyads, Hopf categories and Hopf group monoids viewed as Hopf monads
Gabriella Böhm
We associate, in a functorial way, a monoidal bicategory to any monoidal bicategory . Two examples of this construction are of particular in…
Weak multiplier bimonoids
Gabriella Böhm, José Goméz-Torrecillas, Stephen Lack
Based on the novel notion of `weakly counital fusion morphism', regular weak multiplier bimonoids in braided monoidal categories are introduced. They generalize weak multiplier bia…
A simplicial approach to multiplier bimonoids
Gabriella Böhm, Stephen Lack
Although multiplier bimonoids in general are not known to correspond to comonoids in any monoidal category, we classify them in terms of maps from the Catalan simplicial set to ano…
A category of multiplier bimonoids
Gabriella Böhm, Stephen Lack
The central object studied in this paper is a multiplier bimonoid in a braided monoidal category C. Adapting the philosophy of Janssen and Vercruysse, and making some mild assumpti…
Hopf comonads on naturally Frobenius map-monoidales
Gabriella Böhm, Stephen Lack
We study monoidal comonads on a naturally Frobenius map-monoidale in a monoidal bicategory . We regard them as bimonoids in the duoidal hom-category $\mathcal M(M,M…
On the iteration of weak wreath products
Gabriella Böhm
Based on a study of the 2-category of weak distributive laws, we describe a method of iterating Street's weak wreath product construction. That is, for any 2-category K and for any…
Idempotent splittings, colimit completion, and weak aspects of the theory of monads
Gabriella Böhm, Stephen Lack, Ross Street
We show that some recent constructions in the literature, named `weak' generalizations, can be systematically treated by passing from 2-categories to categories enriched in the Car…
On the 2-categories of weak distributive laws
Gabriella Böhm, Stephen Lack, Ross Street
A weak mixed distributive law (also called weak entwining structure) in a 2-category consists of a monad and a comonad, together with a 2-cell relating them in a way which generali…