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arXiv 2103.16394math.CTmath.AT
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Bilimits是bifilate Objects

Bilimits are Bifinal Objects

Andrea Gagna, Yonatan Harpaz, Edoardo Lanari

摘要:

证明了2-函子的(lax)双极限的特征是图上的(lax)锥的2-范畴中存在极限压缩。我们还研究了双端对象的概念,并证明了一个(宽松)bilimit是一个限制的双端对象的范畴内的锥。一切都是在有标记的2-范畴的背景下发展的,这样机器就可以应用于不同层次的松弛,包括伪极限。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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