3 citations · 8 across the 4 of their papers we have counts for
4 papers
Combinatorial n-fold monoidal categories and n-fold operads
S. Forcey, J. Siehler, E. Seth Sowers
Operads were originally defined as V-operads, that is, enriched in a symmetric or braided monoidal category V. The symmetry or braiding in V is required in order to describe the as…
Vertically Iterated Classical Enrichment
Stefan Forcey
We propose a recursive definition of V-n-categories and their morphisms. We show that for V k-fold monoidal the structure of a (k-n)-fold monoidal strict (n+1)-category is possesse…
Higher Dimensional Enrichment
Stefan Forcey
Lyubashenko has described enriched 2-categories as categories enriched over V-Cat, the 2-category of categories enriched over a symmetric monoidal V. I have generalized this to the…
Enrichment as Categorical Delooping I: Enrichment Over Iterated Monoidal Categories
Stefan Forcey
The 2-category V-Cat of categories enriched over a braided monoidal category V is not itself braided in any way that is based upon the braiding of V. The exception is the case in w…