123 citations · 583 across the 42 of their papers we have counts for
51 papers
The eventual image
Tom Leinster
In a category with enough limits and colimits, one can form the universal automorphism on an endomorphism in two dual senses. Sometimes these dual constructions coincide, as in the…
Spaces of extremal magnitude
Tom Leinster, Mark Meckes
Magnitude is a numerical invariant of compact metric spaces. Its theory is most mature for spaces satisfying the classical condition of being of negative type, and the magnitude of…
Isbell conjugacy and the reflexive completion
Tom Avery, Tom Leinster
The reflexive completion of a category consists of the Set-valued functors on it that are canonically isomorphic to their double conjugate. After reviewing both this construction a…
Entropy and Diversity: The Axiomatic Approach
Tom Leinster
This book brings new mathematical rigour to the ongoing vigorous debate on how to quantify biological diversity. The question "what is diversity?" has surprising mathematical depth…
A categorical derivation of Lebesgue integration
Tom Leinster
We identify simple universal properties that uniquely characterize the Lebesgue spaces. There are two main theorems. The first states that the Banach space , equip…
The probability that an operator is nilpotent
Tom Leinster
Choose a random linear operator on a vector space of finite cardinality N: then the probability that it is nilpotent is 1/N. This is a linear analogue of the fact that for a random…