Some properties of the theory of n-categories


Let LnL_n denote the Dwyer-Kan localization of the category of weak n-categories divided by the n-equivalences. We propose a list of properties that this simplicial category is likely to have, and conjecture that these properties characterize LnL_n up to equivalence. We show, using these properties, how to obtain the morphism n−1n-1-categories between two points in an object of LnL_n and how to obtain the composition map between the morphism objects

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    Last time updated on 12/11/2016