123 citations · 583 across the 42 of their papers we have counts for
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math.CT2002★ 1 cited
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.RA2002
An Objective Representation of the Gaussian Integers
Marcelo Fiore, Tom Leinster
A rig is a riNg without Negatives. We analyse the free rig on a generator x subject to the equivalence x = 1 + x + x^2, showing that in it the non-constant polynomials form a ring.…
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…