47 citations · 55 across the 4 of their papers we have counts for
9 papers · 1 filter
Higher Operads, Higher Categories
Tom Leinster
Higher-dimensional category theory is the study of n-categories, operads, braided monoidal categories, and other such exotic structures. It draws its inspiration from areas as dive…
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…
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…
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…
Operads in Higher-Dimensional Category Theory
Tom Leinster
The purpose of this dissertation is to set up a theory of generalized operads and multicategories, and to use it as a language in which to propose a definition of weak n-category.…
fc-multicategories
Tom Leinster
fc-multicategories are a very general kind of two-dimensional structure, encompassing bicategories, monoidal categories, double categories and ordinary multicategories. We define t…