On factorizations of graphical maps

Philip Hackney, Marcy Robertson, Donald Yau

    Research output: Contribution to journalArticle

    2 Citations (Scopus)


    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 languageEnglish
    Pages (from-to)217-238
    Number of pages22
    JournalHomology, Homotopy and Applications
    Issue number2
    Publication statusPublished - 2018


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

    Fingerprint Dive into the research topics of 'On factorizations of graphical maps'. Together they form a unique fingerprint.

    Cite this