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arXiv · 2202.12386

Limits and colimits of synthetic $\infty$-categories

César Bardomiano Martínez
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Abstract

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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César Bardomiano Martínez. 2022-02-24. Limits and colimits of synthetic $\infty$-categories. https://doi.org/10.1017/s0960129525100248

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