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26 April 2024 |
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Some properties of the theory of n-categories | | Carlos Simpson
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25 Oct 2001 | | Subject: | Category Theory | math.CT | | Abstract: | Let $L_n$ 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 $L_n$ up to equivalence. We show, using these properties, how to obtain the morphism $n-1$-categories between two points in an object of $L_n$ and how to obtain the composition map between the morphism objects. | | Source: | arXiv, math.CT/0110273 | | Services: | Forum | Review | PDF | Favorites | |
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