On monads and warpings

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    We explain the sense in which a warping on a monoidal category is the same as a pseudomonad on the corresponding one-object bicategory, and we describe extensions of this to the setting of skew monoidal categories: these are a generalization of monoidal categories in which the associativity and unit maps are not required to be invertible. Our analysis leads us to describe a normalization process for skew monoidal categories, which produces a universal skew monoidal category for which the right unit map is invertible.
    Original languageEnglish
    Pages (from-to)244-266
    Number of pages23
    JournalCahiers de topologie et géométrie différentielle catégoriques
    Issue number4
    Publication statusPublished - 2014


    • monad
    • bicategory
    • skew monoidal category
    • warping


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