Incidence bicomodules, Möbius inversion and a Rota formula for infinity adjunctions
Incidence bicomodules, Möbius inversion and a
Rota formula for infinity adjunctions
复制标题
入射双模、莫比乌斯反演和
DOI：
--
复制
发表时间：
2018
影响因子：
0.7
通讯作者：
Louis Carlier
中科院分区：
文献类型：
--
作者：
Louis Carlier
同样，分解空间具有关联(Co)代数，某些相对分解空间具有关联(Co)模，我们证明了具有关联bi(Co)模的结构：它们是满足一定正合性条件的增广的双Segl空间。我们建立了(Co)模的M‘obius逆原理，并对某些更复杂的称为M’obius双模构型的结构建立了一个Rota公式。后一种概念最重要的例子是在Rota原始公式的精神下，作为无穷个附加项的映射柱面，或者更一般地，在M“obius分解空间之间映射附加项的柱面。
In the same way decomposition spaces, also known as unital 2-Segal spaces, have incidence (co)algebras, and certain relative decomposition spaces have incidence (co)modules, we identify the structures that have incidence bi(co)modules: they are certain augmented double Segal spaces subject to some exactness conditions. We establish a M\"obius inversion principle for (co)modules, and a Rota formula for certain more involved structures called M\"obius bicomodule configurations. The most important instance of the latter notion arises as mapping cylinders of infinity adjunctions, or more generally of adjunctions between M\"obius decomposition spaces, in the spirit of Rota's original formula.
-作为分析单子的操作
影响因子：
1
作者：
Gepner, David;Haugseng, Rune;Kock, Joachim
通讯作者：
Kock, Joachim