论文标题
在非空置套装上的Pirashvili-Type定理
A Pirashvili-type theorem for functors on non-empty finite sets
论文作者
论文摘要
Pirashvili的Dold-Kan类型定理有限的尖头组合遵循识别，这是根据功能器的张力器量量之间的张力，扮演了增强理想的作用；这些函子是投影的。我们给出了这个结果的未点类似物：即，我们计算在未点上下文中相应函数的张量量之间的形态。我们还计算了此类对象之间的EXT组，特别是表明这些函子不是投影性的。这是尖头和未指向的上下文之间的重要区别。这项工作是通过我们对圆圈楔形较高的同源性的功能分析来激励的。
Pirashvili's Dold-Kan type theorem for finite pointed sets follows from the identification in terms of surjections of the morphisms between the tensor powers of a functor playing the role of the augmentation ideal; these functors are projective. We give an unpointed analogue of this result: namely, we compute the morphisms between the tensor powers of the corresponding functor in the unpointed context. We also calculate the Ext groups between such objects, in particular showing that these functors are not projective; this is an important difference between the pointed and unpointed contexts. This work is motivated by our functorial analysis of the higher Hochschild homology of a wedge of circles.
