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K-theory for 2-categories (1503.07824v2)
Published 26 Mar 2015 in math.AT, math.CT, and math.KT
Abstract: We establish an equivalence of homotopy theories between symmetric monoidal bicategories and connective spectra. For this, we develop the theory of $\Gamma$-objects in 2-categories. In the course of the proof we establish strictfication results of independent interest for symmetric monoidal bicategories and for diagrams of 2-categories.
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