弱球形Tamsamani N-范畴及其刚性化
Weakly globular Tamsamani N-categories and their rigidification
摘要:
我们引入一类新的更高的范畴结构称为弱球状Tamsamani n-范畴。这些推广了高阶范畴的Tamsamani-Simpson模型,通过使用弱球性的新范式来削弱高级范畴结构。我们证明了这个新的结构是适当的等价于一个更简单的作者以前介绍的,所谓的弱球形n-倍范畴。
英文摘要:
We introduce a new class of higher categorical structures called weakly globular Tamsamani n-categories. These generalize the Tamsamani-Simpson model of higher categories by using the new paradigm of weak globularity to weaken higher categorical structures. We prove this new structure is suitably equivalent to a simpler one previously introduced by the author, called weakly globular n-fold categories.
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