47 citations · 55 across the 4 of their papers we have counts for
14 papers
A general theory of self-similarity II: recognition
Tom Leinster
This paper concerns the self-similarity of topological spaces, in the sense defined in math.DS/0411344. I show how to recognize self-similar spaces, or more precisely, universal so…
A general theory of self-similarity I
Tom Leinster
Consider a self-similar space X. A typical situation is that X looks like several copies of itself glued to several copies of another space Y, and Y looks like several copies of it…
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…
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.…
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…