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Iterated weak enrichments

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Iterated enrichments are common in higher category theory, but usually take one of two forms: iterated strict enrichments (such as the kind that produce the category of strict n-categories), and iterated enrichments in which each step is performed more weakly than the last (this is the idea that weak n-categories are categories weakly enriched in weak (n-1)-categories). I will discuss something in between these two extremes, namely iterated enrichment in a monoidal bicategory. This machinery will then be used to discuss the Stabilisation Hypothesis of Baez and Dolan. This is joint work with Eugenia Cheng.

This talk is part of the Category Theory Seminar series.

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