164 citations · 1.4k across the 51 of their papers we have counts for
6 papers · 2 filters
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…
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…
Combinatorial categorical equivalences of Dold-Kan type
Stephen Lack, Ross Street
We prove a class of equivalences of additive functor categories that are relevant to enumerative combinatorics, representation theory, and homotopy theory. Let denote…