123 citations · 583 across the 42 of their papers we have counts for
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Structures in higher-dimensional category theory
Tom Leinster
This paper, written in 1998, aims to clarify various higher categorical structures, mostly through the theory of generalized operads and multicategories. Chapters I and II, which c…
A Survey of Definitions of n-Category
Tom Leinster
Many people have proposed definitions of `weak n-category'. Ten of them are presented here. Each definition is given in two pages, with a further two pages on what happens when n =…
Topology and Higher-Dimensional Category Theory: the Rough Idea
Tom Leinster
Higher-dimensional category theory is the study of n-categories, operads, braided monoidal categories, and other such exotic structures. Although it can be treated purely as an alg…
Perfect numbers and groups
Tom Leinster
A number is perfect if it is the sum of its proper divisors; here we call a finite group `perfect' if its order is the sum of the orders of its proper normal subgroups. (This confl…