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

来源：

HOMOLOGY HOMOTOPY AND APPLICATIONS | 2018年 / 20卷 / 02期

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

页码：217 / 238

页数：22

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