Homotopy-theoretic aspects of 2-monads

Stephen Lack*

*Corresponding author for this work

    Research output: Contribution to journalArticle

    Abstract

    We study 2-monads and their algebras using a Cat-enriched version of Quillen model categories, emphasizing the parallels between the homotopical and 2-categorical points of view. Every 2-category with finite limits and colimits has a canonical model structure in which the weak equivalences are the equivalences; we use these to construct more interesting model structures on 2-categories, including a model structure on the 2-category of algebras for a 2-monad T, and a model structure on a 2-category of 2-monads on a fixed 2-category K.

    Original languageEnglish
    Pages (from-to)229-260
    Number of pages32
    JournalJournal of Homotopy and Related Structures
    Volume2
    Issue number2
    Publication statusPublished - 2007

    Keywords

    • 2-monads
    • Quillen model categories
    • 2-categories
    • QUILLEN MODEL STRUCTURE
    • 2-CATEGORIES
    • LIMITS

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