164 citations · 1.4k across the 51 of their papers we have counts for
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Homotopy locally presentable enriched categories
Stephen Lack, Jiri Rosicky
We develop a homotopy theory of categories enriched in a monoidal model category V. In particular, we deal with homotopy weighted limits and colimits, and homotopy local presentabi…
The Catalan simplicial set
Mitchell Buckley, Richard Garner, Stephen Lack +1
The Catalan numbers are well-known to be the answer to many different counting problems, and so there are many different families of sets whose cardinalities are the Catalan number…
Skew-monoidal categories and the Catalan simplicial set
Mitchell Buckley, Richard Garner, Stephen Lack +1
The basic data for a skew-monoidal category are the same as for a monoidal category, except that the constraint morphisms are no longer required to be invertible. The constraints a…
Triangulations, orientals, and skew monoidal categories
Stephen Lack, Ross Street
A concrete model of the free skew-monoidal category Fsk on a single generating object is obtained. The situation is clubbable in the sense of G.M. Kelly, so this allows a descripti…