论文标题
从细胞的角度来看，经典同源稳定性
Classical homological stability from the point of view of cells
论文作者
论文摘要
我们解释了如何解释“古典”同源稳定性论证中产生的复合物（例如，在Randal-Williams-Wahl的框架中），以较高的代数为角度，这在这种情况下导致了同源稳定性的新证明。关键成分是Damiolini的定理，该定理对某些弧形复合物的合同。我们还解释了如何将这些复合物的连接性与Galatius-bupers-and-williams的“分裂复合物”的连接性进行比较。
We explain how to interpret the complexes arising in the "classical" homology stability argument (e.g. in the framework of Randal-Williams--Wahl) in terms of higher algebra, which leads to a new proof of homological stability in this setting. The key ingredient is a theorem of Damiolini on the contractibility of certain arc complexes. We also explain how to directly compare the connectivities of these complexes with that of the "splitting complexes" of Galatius--Kupers--Randal-Williams.
