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arXiv · 2006.10851

On lax limits in infinity categories

John D. Berman
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Abstract

We introduce partially lax limits of infinity-categories, which interpolate between ordinary limits and lax limits. Most naturally occurring examples of lax limits are only partially lax; we give examples arising from enriched categories and operads. Our main result is a formula for partially lax limits and colimits in terms of the Grothendieck construction. This generalizes a formula of Lurie for ordinary limits and of Gepner-Haugseng-Nikolaus for fully lax limits.

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John D. Berman. 2020-06-18. On lax limits in infinity categories. https://arxiv.org/abs/2006.10851

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