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The low dimensional structures that tricategories form

By Richard Garner and Nick Gurski


We form tricategories and the homomorphisms between them into a bicategory. We then enrich this bicategory into an example of a three-dimensional structure called a locally double bicategory, this being a bicategory enriched in the monoidal 2-category of weak double categories. Finally, we show that every sufficiently well-behaved locally double bicategory gives rise to a tricategory, and thereby deduce the existence of a tricategory of tricategories

Year: 2007
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