ON FACTORIZATIONS OF GRAPHICAL MAPS

被引:5
|
作者
Hackney, Philip [1 ]
Robertson, Marcy [2 ]
Yau, Donald [3 ]
机构
[1] Macquarie Univ, Dept Math, Sydney, NSW 2109, Australia
[2] Univ Melbourne, Sch Math & Stat, Melbourne, Vic 3010, Australia
[3] Ohio State Univ, Dept Math, Newark, OH USA
关键词
Reedy category; graphical set; dendroidal set; Quillen model structure; Eilenberg-Zilber category; properad; wheeled properad; DENDROIDAL SETS;
D O I
10.4310/HHA.2018.v20.n2.a11
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the categories governing infinity (wheeled) properads. The graphical category, which was already known to be generalized Reedy, is, in fact, an Eilenberg-Zilber category. A minor alteration to the de finition of the wheeled graphical category allows us to show that it is a generalized Reedy category. Finally, we present model structures for Segal properads and Segal wheeled properads.
引用
收藏
页码:217 / 238
页数:22
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