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Objects of Categories as Complex Numbers
Marcelo Fiore, Tom Leinster
In many everyday categories (sets, spaces, modules, ...) objects can be both added and multiplied. The arithmetic of such objects is a challenge because there is usually no subtrac…
math.CT2002
Generalized enrichment of categories
Tom Leinster
We define the phrase `category enriched in an fc-multicategory' and explore some examples. An fc-multicategory is a very general kind of 2-dimensional structure, special cases of w…