69 citations · 225 across the 25 of their papers we have counts for
4 papers · 1 filter
Braided skew monoidal categories
John Bourke, Stephen Lack
We introduce the notion of a braiding on a skew monoidal category, whose curious feature is that the defining isomorphisms involve three objects rather than two. These braidings ar…
Equipping weak equivalences with algebraic structure
John Bourke
We investigate the extent to which the weak equivalences in a model category can be equipped with algebraic structure. We prove, for instance, that there exists a monad T such that…
Skew monoidal categories and skew multicategories
John Bourke, Stephen Lack
We describe a perfect correspondence between skew monoidal categories and certain generalised multicategories, called skew multicategories, that arise in nature.
Free skew monoidal categories
John Bourke, Stephen Lack
In the paper "Triangulations, orientals, and skew monoidal categories", the free monoidal category Fsk on a single generating object was described. We sharpen this by giving a comp…