On $$\infty $$-Cosmoi of Bicategories

On $$\infty $$-Cosmoi of Bicategories
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关于 $$infty $$-Bicategories 的 Cosmoi

DOI:
10.1007/s44007-022-00033-y
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发表时间:
2022
期刊:
La Matematica
影响因子:
--
通讯作者:
Wattal, Mira
Wattal, Mira
中科院分区:
--
文献类型:
--
作者:
Riehl, Emily;Wattal, Mira

文献摘要

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一个宇宙是发展形式范畴论的环境。在本文中,我们探讨了一些非典型的宇宙的例子,其对象是2类或双类而不是范畴,并比较了形式范畴论,因此编码与经典的2类和双范畴理论。我们希望这项工作将为未来对形式范畴理论的探索提供信息。
An-cosmos is a setting in which to develop the formal category theory of-categories. In this paper, we explore a few atypical examples of-cosmoi whose objects are 2-categories or bicategories rather than-categories and compare the formal category theory that is so-encoded with classical 2-category and bicategory theory. We hope this work will inform future explorations into formal-category theory.