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arXiv · 2503.20671

The List Object Endofunctor is Polynomial

Samuel Desrochers
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Abstract

In this paper, we study the list object functor $L : \mathcal{C} \rightarrow \mathcal{C}$ for a general category $\mathcal{C}$ with finite limits and parametrized list objects. We show that $L$ is polynomial as long as $\mathcal{C}$ is extensive.

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Samuel Desrochers. 2025-03-26. The List Object Endofunctor is Polynomial. https://arxiv.org/abs/2503.20671

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