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arXiv · 2103.16394

Bilimits are Bifinal Objects

Andrea Gagna·Yonatan Harpaz·Edoardo Lanari
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Abstract

We prove that a (lax) bilimit of a 2-functor is characterized by the existence of a limiting contraction in the 2-category of (lax) cones over the diagram. We also investigate the notion of bifinal object and prove that a (lax) bilimit is a limiting bifinal object in the category of cones. Everything is developed in the context of marked 2-categories, so that the machinery can be applied to different levels of laxity, including pseudo-limits.

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Andrea Gagna, Yonatan Harpaz, Edoardo Lanari. 2021-03-30. Bilimits are Bifinal Objects. https://arxiv.org/abs/2103.16394

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