论文标题
Kz pseudomonads和Kan注射率
KZ-pseudomonads and Kan Injectivity
论文作者
论文摘要
我们介绍了2类中KAN注射率的概念，并研究其特性。对于足够的2类别$ \ MATHCAL {K} $，我们表明每组形态$ \ Mathcal {h} $在$ \ Mathcal {k} $上诱导一个kz-pseudomonad，其2类，其2类pseudoalgebras a pseudoalgebras a Inceptive of All of All Ablective（ $ \ MATHCAL {H} $和形态保存KAN扩展。主要成分是构建（伪）链，其适当的``融合''是通过小物体参数确保的。
We introduce the notion of Kan injectivity in 2-categories and study its properties. For an adequate 2-category $\mathcal{K}$, we show that every set of morphisms $\mathcal{H}$ induces a KZ-pseudomonad on $\mathcal{K}$ whose 2-category of pseudoalgebras is the locally full sub-2-category of all objects (left) Kan injective with respect to $\mathcal{H}$ and morphisms preserving Kan extensions. The main ingredient is the construction of a (pseudo)chain whose appropriate ``convergence" is ensured by a small object argument.
