Dirichlet Functors are Contravariant Polynomial Functors
Category Theory
2020-04-10 v1
Abstract
Polynomial functors are sums of covariant representable functors from the category of sets to itself. They have a robust theory with many applications -- from operads and opetopes to combinatorial species. In this paper, we define a contravariant analogue of polynomial functors: Dirichlet functors. We develop the basic theory of Dirichlet functors, and relate them to their covariant analogues.
Cite
@article{arxiv.2004.04183,
title = {Dirichlet Functors are Contravariant Polynomial Functors},
author = {David Jaz Myers and David I. Spivak},
journal= {arXiv preprint arXiv:2004.04183},
year = {2020}
}
Comments
11 pages