On factorizations of graphical maps

Philip Hackney; Marcy Robertson; Donald Yau

doi:10.4310/HHA.2018.v20.n2.a11

On factorizations of graphical maps

Philip Hackney, Marcy Robertson, Donald Yau

Research output: Contribution to journal › Article

2 Citations (Scopus)

Abstract

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 definition 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.

Original language	English
Pages (from-to)	217-238
Number of pages	22
Journal	Homology, Homotopy and Applications
Volume	20
Issue number	2
DOIs	https://doi.org/10.4310/HHA.2018.v20.n2.a11
Publication status	Published - 2018

Keywords

Reedy category
graphical set
dendroidal set
Quillen model structure
Eilenberg-Zilber category
properad
wheeled properad

Access to Document

10.4310/HHA.2018.v20.n2.a11

https://arxiv.org/abs/1705.08546Licence: Unspecified
Link to publication in Scopus

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