Baez-Dolan stabilization via (semi-)model categories of operads

David White*, Michael Batanin

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingChapter

    Abstract

    We describe a proof of the Baez-Dolan Stabilization Hypothesis for Rezk's model of weak n-categories. This proof proceeds via abstract homotopy theory, and en route we discuss a version of left Bousfield localization which does not require left properness. We also discuss conditions under which various categories of operads can be made left proper, but these conditions are difficult to be satisfied, as a counterexample in the context of simplicial sets demonstrates.
    Original languageEnglish
    Title of host publicationExtended abstracts Spring 2015
    Subtitle of host publicationinteractions between representation theory, algebraic topology and commutative algebra
    EditorsDolors Herbera, Wolfgang Pitsch, Santiago Zarzuela
    Place of PublicationCham, Switzerland
    PublisherBirkhäuser
    Pages175-179
    Number of pages5
    ISBN (Print)9783319454405
    DOIs
    Publication statusPublished - 2016

    Publication series

    NameTrends in mathematics : research perspectives CRM Barcelona
    PublisherBirkhäuser
    ISSN (Print)2297-0215

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    Cite this

    White, D., & Batanin, M. (2016). Baez-Dolan stabilization via (semi-)model categories of operads. In D. Herbera, W. Pitsch, & S. Zarzuela (Eds.), Extended abstracts Spring 2015: interactions between representation theory, algebraic topology and commutative algebra (pp. 175-179). (Trends in mathematics : research perspectives CRM Barcelona). Cham, Switzerland: Birkhäuser. https://doi.org/10.1007/978-3-319-45441-2_31