41 citations · 124 across the 31 of their papers we have counts for
7 papers · 1 filter
Quotients of the Multiplihedron as Categorified Associahedra
Stefan Forcey
We describe a new sequence of polytopes which characterize A_infinity maps from a topological monoid to an A_infinity space. Therefore each of these polytopes is a quotient of the…
Classification of braids which give rise to interchange
Stefan Forcey, Felita Humes
It is well known that the existence of a braiding in a monoidal category V allows many structures to be built upon that foundation. These include a monoidal 2-category V-Cat of enr…
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…
Enrichment over iterated monoidal categories
Stefan Forcey
Joyal and Street note in their paper on braided monoidal categories [Braided tensor categories, Advances in Math. 102(1993) 20-78] that the 2-category V-Cat of categories enriched…
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…