164 citations · 1.4k across the 51 of their papers we have counts for
7 papers · 1 filter
The Catalan simplicial set II
Mitchell Buckley
The Catalan simplicial set is known to classify skew-monoidal categories in the sense that a map from to a suitably defined nerve of is pre…
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…
Skew-monoidal reflection and lifting theorems
Stephen Lack, Ross Street
The Day Reflection Theorem gives conditions under which a reflective subcategory of a closed monoidal category can be equipped with a closed monoidal structure in such a way that t…
On monads and warpings
Stephen Lack, Ross Street
We explain the sense in which a warping on a monoidal category is the same as a pseudomonad on the corresponding one-object bicategory, and we describe extensions of this to the se…
Multiplier bialgebras in braided monoidal categories
Gabriella Böhm, Stephen Lack
Multiplier bimonoids (or bialgebras) in arbitrary braided monoidal categories are defined. They are shown to possess monoidal categories of comodules and modules. These facts are e…
Semi-localizations of semi-abelian categories
Marino Gran, Stephen Lack
A semi-localization of a category is a full reflective subcategory with the property that the reflector is semi-left-exact. In this article we first determine an abstract character…