论文标题

合成$ \ infty $ - 类别的限制和限制

Limits and colimits of synthetic $\infty$-categories

论文作者

Martínez, César Bardomiano

论文摘要

我们在Riehl and Shulman开发的Simplicial同型类型理论的合成框架中,在$ \ infty $ - 类别中开发了限制和colimits的理论。我们还表明,在这种情况下,可以将空间家族的限制计算为依赖产品。

We develop the theory of limits and colimits in $\infty$-categories within the synthetic framework of simplicial Homotopy Type Theory developed by Riehl and Shulman. We also show that in this setting, the limit of a family of spaces can be computed as a dependent product.

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