2-Segal objects and algebras in spans

被引：3
|
作者：
Stern, Walker H. [1 ]
机构：
[1] Univ Virginia, Dept Math, 141 Cabell Dr, Charlottesville, VA 22903 USA
来源：
JOURNAL OF HOMOTOPY AND RELATED STRUCTURES | 2021年 / 16卷 / 02期
关键词：
CROSSED SIMPLICIAL GROUPS; SPACES;
D O I：
10.1007/s40062-021-00282-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We define a category parameterizing Calabi-Yau algebra objects in an infinity category of spans. Using this category, we prove that there are equivalences of infinity categories relating, firstly: 2-Segal simplicial objects in C to algebra objects in Span(C); and secondly: 2-Segal cyclic objects in C to Calabi-Yau algebra objects in Span(C).
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页码：297 / 361
页数：65
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