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math.CT2004
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…
math.CT2003★ 3 cited
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…
math.CT2003★ 3 cited
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…