论文标题
高阶Toda支架
Higher order Toda brackets
论文作者
论文摘要
我们描述了在尖的简单模型类别中定义高阶TODA括号$ \ MATHCAL {D} $的两种方法：一个是使用模型分类结构的递归定义，第二个使用相关的简单富集。我们表明，这两个定义通过提供Toda支架的第三个图形的描述，并解释其如何用作纠正$ \ Mathcal {D} $中的某个同质副本的图表的障碍。
We describe two ways to define higher order Toda brackets in a pointed simplicial model category $\mathcal{D}$: one is a recursive definition using model categorical constructions, and the second uses the associated simplicial enrichment. We show that these two definitions agree, by providing a third, diagrammatic, description of the Toda bracket, and explain how it serves as the obstruction to rectifying a certain homotopy-commutative diagram in $\mathcal{D}$.
