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arXiv · 1705.08546

On factorizations of graphical maps

Philip Hackney·Marcy Robertson·Donald Yau
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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.

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Philip Hackney, Marcy Robertson, Donald Yau. 2017-05-23. On factorizations of graphical maps. https://doi.org/10.4310/hha.2018.v20.n2.a11

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