论文标题
dirichlet函子是违反多项式函子
Dirichlet Functors are Contravariant Polynomial Functors
论文作者
论文摘要
多项式函数是从集合类别到自身的协变量函数的总和。它们具有许多应用理论，具有许多应用 - 从作业和opetopes到组合物种。在本文中，我们定义了多项式函子的违反类似物：dirichlet函子。我们开发了Dirichlet函子的基本理论，并将其与它们的协变量类似物联系起来。
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.
