Classical homological stability from the point of view of cells

被引：0

作者：

Randal-Williams, Oscar ^{[1
]}

机构：

[1] Univ Cambridge, Ctr Math Sci, Cambridge, England

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2024年 / 24卷 / 03期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We explain how to interpret the complexes arising in the "classical" homology stability argument (eg in the framework of Randal -Williams and 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 and Randal -Williams.

引用

页数：25

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