论文标题
灰色类别模型代数三角形
Gray-categories model algebraic tricategories
论文作者
论文摘要
缺乏描述了灰色类别和灰色 - 功能的灰色类别上的Quillen模型结构,弱等效性是弱的3均等。在本说明中,我们适应了古尔斯基(Gurski),约翰逊(Johnson)和奥索诺(Osorno)的技术,以表明在弱等价上的灰猫的定位等同于代数三曲酸的类别和伪弱的弱3功能类别。
Lack described a Quillen model structure on the category GrayCat of Gray-categories and Gray-functors, for which the weak equivalences are the weak 3-equivalences. In this note, we adapt the technique of Gurski, Johnson, and Osorno to show the localization of GrayCat at the weak equivalences is equivalent to the category of algebraic tricategories and pseudo-natural equivalence classes of weak 3-functors.