Partial orders are the free conservative cocompletion of total orders

Calin Tataru

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arXiv · 2404.12924

Partial orders are the free conservative cocompletion of total orders

Calin Tataru

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Abstract

We show that the category of partially ordered sets $\mathsf{Pos}$ is equivalent to the free conservative cocompletion of the category of finite non-empty totally ordered sets $\Delta$, which is also known as the simplex category.

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Calin Tataru. 2024-04-19. Partial orders are the free conservative cocompletion of total orders. https://arxiv.org/abs/2404.12924

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